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Finding the Fourth Proportional to 10,374.86, 15,560.19 and 3,798.80

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Solution

The fourth proportional to 10,374.86, 15,560.19 and 3,798.80 is: 5,697.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,374.86 : 15,560.19 = 3,798.80 : x
  2. Step 2: Convert to fraction form
    10,374.86/15,560.19 = 3,798.80/x
  3. Step 3: Cross multiply
    10,374.86x = 15,560.19 × 3,798.80
  4. Step 4: Simplify right side
    10,374.86x = 59,109,971.97
  5. Step 5: Solve for x
    x = 59,109,971.97/10,374.86
  6. Step 6: Final answer
    x = 5,697.43

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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.