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Finding the Fourth Proportional to 10,374.60, 15,594.30 and 10,180.20

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Solution

The fourth proportional to 10,374.60, 15,594.30 and 10,180.20 is: 15,302.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,374.60 : 15,594.30 = 10,180.20 : x
  2. Step 2: Convert to fraction form
    10,374.60/15,594.30 = 10,180.20/x
  3. Step 3: Cross multiply
    10,374.60x = 15,594.30 × 10,180.20
  4. Step 4: Simplify right side
    10,374.60x = 158,753,092.86
  5. Step 5: Solve for x
    x = 158,753,092.86/10,374.60
  6. Step 6: Final answer
    x = 15,302.09

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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.