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Finding the Fourth Proportional to 8,641.59, 11,926.29 and 5,286.64

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Solution

The fourth proportional to 8,641.59, 11,926.29 and 5,286.64 is: 7,296.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,641.59 : 11,926.29 = 5,286.64 : x
  2. Step 2: Convert to fraction form
    8,641.59/11,926.29 = 5,286.64/x
  3. Step 3: Cross multiply
    8,641.59x = 11,926.29 × 5,286.64
  4. Step 4: Simplify right side
    8,641.59x = 63,049,971.95
  5. Step 5: Solve for x
    x = 63,049,971.95/8,641.59
  6. Step 6: Final answer
    x = 7,296.11

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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.