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Finding the Fourth Proportional to 10,298.58, 15,452.67 and 6,138.42

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Solution

The fourth proportional to 10,298.58, 15,452.67 and 6,138.42 is: 9,210.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,298.58 : 15,452.67 = 6,138.42 : x
  2. Step 2: Convert to fraction form
    10,298.58/15,452.67 = 6,138.42/x
  3. Step 3: Cross multiply
    10,298.58x = 15,452.67 × 6,138.42
  4. Step 4: Simplify right side
    10,298.58x = 94,854,978.58
  5. Step 5: Solve for x
    x = 94,854,978.58/10,298.58
  6. Step 6: Final answer
    x = 9,210.49

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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.