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Finding the Fourth Proportional to 8,447.64, 11,641.50 and 5,959.32

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Solution

The fourth proportional to 8,447.64, 11,641.50 and 5,959.32 is: 8,212.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,447.64 : 11,641.50 = 5,959.32 : x
  2. Step 2: Convert to fraction form
    8,447.64/11,641.50 = 5,959.32/x
  3. Step 3: Cross multiply
    8,447.64x = 11,641.50 × 5,959.32
  4. Step 4: Simplify right side
    8,447.64x = 69,375,423.78
  5. Step 5: Solve for x
    x = 69,375,423.78/8,447.64
  6. Step 6: Final answer
    x = 8,212.40

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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.