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Finding the Fourth Proportional to 10,314.52, 15,471.78 and 4,471

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Solution

The fourth proportional to 10,314.52, 15,471.78 and 4,471 is: 6,706.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,314.52 : 15,471.78 = 4,471 : x
  2. Step 2: Convert to fraction form
    10,314.52/15,471.78 = 4,471/x
  3. Step 3: Cross multiply
    10,314.52x = 15,471.78 × 4,471
  4. Step 4: Simplify right side
    10,314.52x = 69,174,328.38
  5. Step 5: Solve for x
    x = 69,174,328.38/10,314.52
  6. Step 6: Final answer
    x = 6,706.50

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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.