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Finding the Fourth Proportional to 15,665.16, 21,617.76 and 8,591.64

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Solution

The fourth proportional to 15,665.16, 21,617.76 and 8,591.64 is: 11,856.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,665.16 : 21,617.76 = 8,591.64 : x
  2. Step 2: Convert to fraction form
    15,665.16/21,617.76 = 8,591.64/x
  3. Step 3: Cross multiply
    15,665.16x = 21,617.76 × 8,591.64
  4. Step 4: Simplify right side
    15,665.16x = 185,732,011.53
  5. Step 5: Solve for x
    x = 185,732,011.53/15,665.16
  6. Step 6: Final answer
    x = 11,856.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.