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Finding the Fourth Proportional to 10,057.84, 15,079.83 and 4,432.78

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Solution

The fourth proportional to 10,057.84, 15,079.83 and 4,432.78 is: 6,646.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,057.84 : 15,079.83 = 4,432.78 : x
  2. Step 2: Convert to fraction form
    10,057.84/15,079.83 = 4,432.78/x
  3. Step 3: Cross multiply
    10,057.84x = 15,079.83 × 4,432.78
  4. Step 4: Simplify right side
    10,057.84x = 66,845,568.83
  5. Step 5: Solve for x
    x = 66,845,568.83/10,057.84
  6. Step 6: Final answer
    x = 6,646.12

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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.