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Finding the Fourth Proportional to 10,463.86, 15,695.73 and 6,571

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Solution

The fourth proportional to 10,463.86, 15,695.73 and 6,571 is: 9,856.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,463.86 : 15,695.73 = 6,571 : x
  2. Step 2: Convert to fraction form
    10,463.86/15,695.73 = 6,571/x
  3. Step 3: Cross multiply
    10,463.86x = 15,695.73 × 6,571
  4. Step 4: Simplify right side
    10,463.86x = 103,136,641.83
  5. Step 5: Solve for x
    x = 103,136,641.83/10,463.86
  6. Step 6: Final answer
    x = 9,856.46

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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.