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Finding the Fourth Proportional to 6,487.02, 9,724.92 and 5,506.24

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Solution

The fourth proportional to 6,487.02, 9,724.92 and 5,506.24 is: 8,254.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,487.02 : 9,724.92 = 5,506.24 : x
  2. Step 2: Convert to fraction form
    6,487.02/9,724.92 = 5,506.24/x
  3. Step 3: Cross multiply
    6,487.02x = 9,724.92 × 5,506.24
  4. Step 4: Simplify right side
    6,487.02x = 53,547,743.50
  5. Step 5: Solve for x
    x = 53,547,743.50/6,487.02
  6. Step 6: Final answer
    x = 8,254.60

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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.