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Finding the Fourth Proportional to 10,535.97, 14,522.90 and 8,294.30

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Solution

The fourth proportional to 10,535.97, 14,522.90 and 8,294.30 is: 11,432.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,535.97 : 14,522.90 = 8,294.30 : x
  2. Step 2: Convert to fraction form
    10,535.97/14,522.90 = 8,294.30/x
  3. Step 3: Cross multiply
    10,535.97x = 14,522.90 × 8,294.30
  4. Step 4: Simplify right side
    10,535.97x = 120,457,229.84
  5. Step 5: Solve for x
    x = 120,457,229.84/10,535.97
  6. Step 6: Final answer
    x = 11,432.95

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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.