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Finding the Fourth Proportional to 10,642.68, 14,684.82 and 5,926.08

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Solution

The fourth proportional to 10,642.68, 14,684.82 and 5,926.08 is: 8,176.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,642.68 : 14,684.82 = 5,926.08 : x
  2. Step 2: Convert to fraction form
    10,642.68/14,684.82 = 5,926.08/x
  3. Step 3: Cross multiply
    10,642.68x = 14,684.82 × 5,926.08
  4. Step 4: Simplify right side
    10,642.68x = 87,023,418.11
  5. Step 5: Solve for x
    x = 87,023,418.11/10,642.68
  6. Step 6: Final answer
    x = 8,176.83

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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.