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Finding the Fourth Proportional to 6,324.92, 9,472.80 and 3,547.16

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Solution

The fourth proportional to 6,324.92, 9,472.80 and 3,547.16 is: 5,312.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,324.92 : 9,472.80 = 3,547.16 : x
  2. Step 2: Convert to fraction form
    6,324.92/9,472.80 = 3,547.16/x
  3. Step 3: Cross multiply
    6,324.92x = 9,472.80 × 3,547.16
  4. Step 4: Simplify right side
    6,324.92x = 33,601,537.25
  5. Step 5: Solve for x
    x = 33,601,537.25/6,324.92
  6. Step 6: Final answer
    x = 5,312.56

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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.