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Finding the Fourth Proportional to 6,342.72, 9,513 and 2,447.16

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Solution

The fourth proportional to 6,342.72, 9,513 and 2,447.16 is: 3,670.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,342.72 : 9,513 = 2,447.16 : x
  2. Step 2: Convert to fraction form
    6,342.72/9,513 = 2,447.16/x
  3. Step 3: Cross multiply
    6,342.72x = 9,513 × 2,447.16
  4. Step 4: Simplify right side
    6,342.72x = 23,279,833.08
  5. Step 5: Solve for x
    x = 23,279,833.08/6,342.72
  6. Step 6: Final answer
    x = 3,670.32

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Double scale
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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.