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Finding the Fourth Proportional to 10,374.03, 15,565.62 and 5,442.48

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Solution

The fourth proportional to 10,374.03, 15,565.62 and 5,442.48 is: 8,166.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,374.03 : 15,565.62 = 5,442.48 : x
  2. Step 2: Convert to fraction form
    10,374.03/15,565.62 = 5,442.48/x
  3. Step 3: Cross multiply
    10,374.03x = 15,565.62 × 5,442.48
  4. Step 4: Simplify right side
    10,374.03x = 84,715,575.54
  5. Step 5: Solve for x
    x = 84,715,575.54/10,374.03
  6. Step 6: Final answer
    x = 8,166.12

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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.