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Finding the Fourth Proportional to 10,594.74, 15,892.12 and 5,404.26

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Solution

The fourth proportional to 10,594.74, 15,892.12 and 5,404.26 is: 8,106.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,594.74 : 15,892.12 = 5,404.26 : x
  2. Step 2: Convert to fraction form
    10,594.74/15,892.12 = 5,404.26/x
  3. Step 3: Cross multiply
    10,594.74x = 15,892.12 × 5,404.26
  4. Step 4: Simplify right side
    10,594.74x = 85,885,148.43
  5. Step 5: Solve for x
    x = 85,885,148.43/10,594.74
  6. Step 6: Final answer
    x = 8,106.40

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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.