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Finding the Fourth Proportional to 9,686.68, 14,530.02 and 2,761

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Solution

The fourth proportional to 9,686.68, 14,530.02 and 2,761 is: 4,141.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,686.68 : 14,530.02 = 2,761 : x
  2. Step 2: Convert to fraction form
    9,686.68/14,530.02 = 2,761/x
  3. Step 3: Cross multiply
    9,686.68x = 14,530.02 × 2,761
  4. Step 4: Simplify right side
    9,686.68x = 40,117,385.22
  5. Step 5: Solve for x
    x = 40,117,385.22/9,686.68
  6. Step 6: Final answer
    x = 4,141.50

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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.