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Finding the Fourth Proportional to 9,205.10, 12,446.33 and 9,205.10

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Solution

The fourth proportional to 9,205.10, 12,446.33 and 9,205.10 is: 12,446.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205.10 : 12,446.33 = 9,205.10 : x
  2. Step 2: Convert to fraction form
    9,205.10/12,446.33 = 9,205.10/x
  3. Step 3: Cross multiply
    9,205.10x = 12,446.33 × 9,205.10
  4. Step 4: Simplify right side
    9,205.10x = 114,569,666.26
  5. Step 5: Solve for x
    x = 114,569,666.26/9,205.10
  6. Step 6: Final answer
    x = 12,446.33

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.