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Finding the Fourth Proportional to 6,643.18, 9,170.88 and 5,147.71

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Solution

The fourth proportional to 6,643.18, 9,170.88 and 5,147.71 is: 7,106.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,643.18 : 9,170.88 = 5,147.71 : x
  2. Step 2: Convert to fraction form
    6,643.18/9,170.88 = 5,147.71/x
  3. Step 3: Cross multiply
    6,643.18x = 9,170.88 × 5,147.71
  4. Step 4: Simplify right side
    6,643.18x = 47,209,030.68
  5. Step 5: Solve for x
    x = 47,209,030.68/6,643.18
  6. Step 6: Final answer
    x = 7,106.39

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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.