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Finding the Fourth Proportional to 8,922.74, 12,318.98 and 5,737.46

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Solution

The fourth proportional to 8,922.74, 12,318.98 and 5,737.46 is: 7,921.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,922.74 : 12,318.98 = 5,737.46 : x
  2. Step 2: Convert to fraction form
    8,922.74/12,318.98 = 5,737.46/x
  3. Step 3: Cross multiply
    8,922.74x = 12,318.98 × 5,737.46
  4. Step 4: Simplify right side
    8,922.74x = 70,679,564.71
  5. Step 5: Solve for x
    x = 70,679,564.71/8,922.74
  6. Step 6: Final answer
    x = 7,921.29

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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.