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Finding the Fourth Proportional to 15,814.11, 23,702.91 and 5,947.10

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Solution

The fourth proportional to 15,814.11, 23,702.91 and 5,947.10 is: 8,913.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,814.11 : 23,702.91 = 5,947.10 : x
  2. Step 2: Convert to fraction form
    15,814.11/23,702.91 = 5,947.10/x
  3. Step 3: Cross multiply
    15,814.11x = 23,702.91 × 5,947.10
  4. Step 4: Simplify right side
    15,814.11x = 140,963,576.06
  5. Step 5: Solve for x
    x = 140,963,576.06/15,814.11
  6. Step 6: Final answer
    x = 8,913.78

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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.