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Finding the Fourth Proportional to 10,398.88, 15,609.12 and 6,024.88

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Solution

The fourth proportional to 10,398.88, 15,609.12 and 6,024.88 is: 9,043.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,398.88 : 15,609.12 = 6,024.88 : x
  2. Step 2: Convert to fraction form
    10,398.88/15,609.12 = 6,024.88/x
  3. Step 3: Cross multiply
    10,398.88x = 15,609.12 × 6,024.88
  4. Step 4: Simplify right side
    10,398.88x = 94,043,074.91
  5. Step 5: Solve for x
    x = 94,043,074.91/10,398.88
  6. Step 6: Final answer
    x = 9,043.58

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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.