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Finding the Fourth Proportional to 9,609.40, 14,414.10 and 8,151.40

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Solution

The fourth proportional to 9,609.40, 14,414.10 and 8,151.40 is: 12,227.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,609.40 : 14,414.10 = 8,151.40 : x
  2. Step 2: Convert to fraction form
    9,609.40/14,414.10 = 8,151.40/x
  3. Step 3: Cross multiply
    9,609.40x = 14,414.10 × 8,151.40
  4. Step 4: Simplify right side
    9,609.40x = 117,495,094.74
  5. Step 5: Solve for x
    x = 117,495,094.74/9,609.40
  6. Step 6: Final answer
    x = 12,227.10

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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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.