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Finding the Fourth Proportional to 11,294.14, 15,575.76 and 7,311.10

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Solution

The fourth proportional to 11,294.14, 15,575.76 and 7,311.10 is: 10,082.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,294.14 : 15,575.76 = 7,311.10 : x
  2. Step 2: Convert to fraction form
    11,294.14/15,575.76 = 7,311.10/x
  3. Step 3: Cross multiply
    11,294.14x = 15,575.76 × 7,311.10
  4. Step 4: Simplify right side
    11,294.14x = 113,875,938.94
  5. Step 5: Solve for x
    x = 113,875,938.94/11,294.14
  6. Step 6: Final answer
    x = 10,082.75

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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.