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Finding the Fourth Proportional to 7,468.68, 11,205 and 6,652.56

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Solution

The fourth proportional to 7,468.68, 11,205 and 6,652.56 is: 9,980.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,468.68 : 11,205 = 6,652.56 : x
  2. Step 2: Convert to fraction form
    7,468.68/11,205 = 6,652.56/x
  3. Step 3: Cross multiply
    7,468.68x = 11,205 × 6,652.56
  4. Step 4: Simplify right side
    7,468.68x = 74,541,934.80
  5. Step 5: Solve for x
    x = 74,541,934.80/7,468.68
  6. Step 6: Final answer
    x = 9,980.60

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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.