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Finding the Fourth Proportional to 9,253.80, 12,770.14 and 5,062

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Solution

The fourth proportional to 9,253.80, 12,770.14 and 5,062 is: 6,985.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,253.80 : 12,770.14 = 5,062 : x
  2. Step 2: Convert to fraction form
    9,253.80/12,770.14 = 5,062/x
  3. Step 3: Cross multiply
    9,253.80x = 12,770.14 × 5,062
  4. Step 4: Simplify right side
    9,253.80x = 64,642,448.68
  5. Step 5: Solve for x
    x = 64,642,448.68/9,253.80
  6. Step 6: Final answer
    x = 6,985.50

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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.