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Finding the Fourth Proportional to 10,655.10, 15,965.07 and 6,482.49

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Solution

The fourth proportional to 10,655.10, 15,965.07 and 6,482.49 is: 9,713.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,655.10 : 15,965.07 = 6,482.49 : x
  2. Step 2: Convert to fraction form
    10,655.10/15,965.07 = 6,482.49/x
  3. Step 3: Cross multiply
    10,655.10x = 15,965.07 × 6,482.49
  4. Step 4: Simplify right side
    10,655.10x = 103,493,406.62
  5. Step 5: Solve for x
    x = 103,493,406.62/10,655.10
  6. Step 6: Final answer
    x = 9,713.04

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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.