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Finding the Fourth Proportional to 6,288, 9,468.66 and 4,656.12

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Solution

The fourth proportional to 6,288, 9,468.66 and 4,656.12 is: 7,011.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,288 : 9,468.66 = 4,656.12 : x
  2. Step 2: Convert to fraction form
    6,288/9,468.66 = 4,656.12/x
  3. Step 3: Cross multiply
    6,288x = 9,468.66 × 4,656.12
  4. Step 4: Simplify right side
    6,288x = 44,087,217.20
  5. Step 5: Solve for x
    x = 44,087,217.20/6,288
  6. Step 6: Final answer
    x = 7,011.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.