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Finding the Fourth Proportional to 10,647.68, 14,693.82 and 5,932.13

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Solution

The fourth proportional to 10,647.68, 14,693.82 and 5,932.13 is: 8,186.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,647.68 : 14,693.82 = 5,932.13 : x
  2. Step 2: Convert to fraction form
    10,647.68/14,693.82 = 5,932.13/x
  3. Step 3: Cross multiply
    10,647.68x = 14,693.82 × 5,932.13
  4. Step 4: Simplify right side
    10,647.68x = 87,165,650.44
  5. Step 5: Solve for x
    x = 87,165,650.44/10,647.68
  6. Step 6: Final answer
    x = 8,186.35

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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.