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Finding the Fourth Proportional to 6,531.18, 9,799.20 and 3,066

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Solution

The fourth proportional to 6,531.18, 9,799.20 and 3,066 is: 4,600.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,531.18 : 9,799.20 = 3,066 : x
  2. Step 2: Convert to fraction form
    6,531.18/9,799.20 = 3,066/x
  3. Step 3: Cross multiply
    6,531.18x = 9,799.20 × 3,066
  4. Step 4: Simplify right side
    6,531.18x = 30,044,347.20
  5. Step 5: Solve for x
    x = 30,044,347.20/6,531.18
  6. Step 6: Final answer
    x = 4,600.14

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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.