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Finding the Fourth Proportional to 8,491.47, 12,724.92 and 6,031.23

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Solution

The fourth proportional to 8,491.47, 12,724.92 and 6,031.23 is: 9,038.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,491.47 : 12,724.92 = 6,031.23 : x
  2. Step 2: Convert to fraction form
    8,491.47/12,724.92 = 6,031.23/x
  3. Step 3: Cross multiply
    8,491.47x = 12,724.92 × 6,031.23
  4. Step 4: Simplify right side
    8,491.47x = 76,746,919.25
  5. Step 5: Solve for x
    x = 76,746,919.25/8,491.47
  6. Step 6: Final answer
    x = 9,038.12

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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.