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Finding the Fourth Proportional to 9,137.12, 12,609.18 and 4,945.38

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Solution

The fourth proportional to 9,137.12, 12,609.18 and 4,945.38 is: 6,824.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,137.12 : 12,609.18 = 4,945.38 : x
  2. Step 2: Convert to fraction form
    9,137.12/12,609.18 = 4,945.38/x
  3. Step 3: Cross multiply
    9,137.12x = 12,609.18 × 4,945.38
  4. Step 4: Simplify right side
    9,137.12x = 62,357,186.59
  5. Step 5: Solve for x
    x = 62,357,186.59/9,137.12
  6. Step 6: Final answer
    x = 6,824.60

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.