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Finding the Fourth Proportional to 15,193.52, 20,966.55 and 8,294.42

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Solution

The fourth proportional to 15,193.52, 20,966.55 and 8,294.42 is: 11,446.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,193.52 : 20,966.55 = 8,294.42 : x
  2. Step 2: Convert to fraction form
    15,193.52/20,966.55 = 8,294.42/x
  3. Step 3: Cross multiply
    15,193.52x = 20,966.55 × 8,294.42
  4. Step 4: Simplify right side
    15,193.52x = 173,905,266.82
  5. Step 5: Solve for x
    x = 173,905,266.82/15,193.52
  6. Step 6: Final answer
    x = 11,446.02

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.