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Finding the Fourth Proportional to 6,656.25, 9,967.32 and 6,459.17

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Solution

The fourth proportional to 6,656.25, 9,967.32 and 6,459.17 is: 9,672.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,656.25 : 9,967.32 = 6,459.17 : x
  2. Step 2: Convert to fraction form
    6,656.25/9,967.32 = 6,459.17/x
  3. Step 3: Cross multiply
    6,656.25x = 9,967.32 × 6,459.17
  4. Step 4: Simplify right side
    6,656.25x = 64,380,564.49
  5. Step 5: Solve for x
    x = 64,380,564.49/6,656.25
  6. Step 6: Final answer
    x = 9,672.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.