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Finding the Fourth Proportional to 8,732.84, 12,047.76 and 5,374.64

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Solution

The fourth proportional to 8,732.84, 12,047.76 and 5,374.64 is: 7,414.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,732.84 : 12,047.76 = 5,374.64 : x
  2. Step 2: Convert to fraction form
    8,732.84/12,047.76 = 5,374.64/x
  3. Step 3: Cross multiply
    8,732.84x = 12,047.76 × 5,374.64
  4. Step 4: Simplify right side
    8,732.84x = 64,752,372.81
  5. Step 5: Solve for x
    x = 64,752,372.81/8,732.84
  6. Step 6: Final answer
    x = 7,414.81

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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.