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Finding the Fourth Proportional to 10,497.11, 14,487.04 and 7,839.91

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Solution

The fourth proportional to 10,497.11, 14,487.04 and 7,839.91 is: 10,819.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,497.11 : 14,487.04 = 7,839.91 : x
  2. Step 2: Convert to fraction form
    10,497.11/14,487.04 = 7,839.91/x
  3. Step 3: Cross multiply
    10,497.11x = 14,487.04 × 7,839.91
  4. Step 4: Simplify right side
    10,497.11x = 113,577,033.95
  5. Step 5: Solve for x
    x = 113,577,033.95/10,497.11
  6. Step 6: Final answer
    x = 10,819.84

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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.