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Finding the Fourth Proportional to 7,159.39, 9,876.58 and 4,642.31

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Solution

The fourth proportional to 7,159.39, 9,876.58 and 4,642.31 is: 6,404.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,159.39 : 9,876.58 = 4,642.31 : x
  2. Step 2: Convert to fraction form
    7,159.39/9,876.58 = 4,642.31/x
  3. Step 3: Cross multiply
    7,159.39x = 9,876.58 × 4,642.31
  4. Step 4: Simplify right side
    7,159.39x = 45,850,159.19
  5. Step 5: Solve for x
    x = 45,850,159.19/7,159.39
  6. Step 6: Final answer
    x = 6,404.20

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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.