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Finding the Fourth Proportional to 7,159.22, 9,877.71 and 4,641.44

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Solution

The fourth proportional to 7,159.22, 9,877.71 and 4,641.44 is: 6,403.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,159.22 : 9,877.71 = 4,641.44 : x
  2. Step 2: Convert to fraction form
    7,159.22/9,877.71 = 4,641.44/x
  3. Step 3: Cross multiply
    7,159.22x = 9,877.71 × 4,641.44
  4. Step 4: Simplify right side
    7,159.22x = 45,846,768.55
  5. Step 5: Solve for x
    x = 45,846,768.55/7,159.22
  6. Step 6: Final answer
    x = 6,403.88

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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.