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Finding the Fourth Proportional to 10,594.28, 15,874.14 and 5,393

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Solution

The fourth proportional to 10,594.28, 15,874.14 and 5,393 is: 8,080.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,594.28 : 15,874.14 = 5,393 : x
  2. Step 2: Convert to fraction form
    10,594.28/15,874.14 = 5,393/x
  3. Step 3: Cross multiply
    10,594.28x = 15,874.14 × 5,393
  4. Step 4: Simplify right side
    10,594.28x = 85,609,237.02
  5. Step 5: Solve for x
    x = 85,609,237.02/10,594.28
  6. Step 6: Final answer
    x = 8,080.70

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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.