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Finding the Fourth Proportional to 7,189.68, 9,921.32 and 4,357.76

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Solution

The fourth proportional to 7,189.68, 9,921.32 and 4,357.76 is: 6,013.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,189.68 : 9,921.32 = 4,357.76 : x
  2. Step 2: Convert to fraction form
    7,189.68/9,921.32 = 4,357.76/x
  3. Step 3: Cross multiply
    7,189.68x = 9,921.32 × 4,357.76
  4. Step 4: Simplify right side
    7,189.68x = 43,234,731.44
  5. Step 5: Solve for x
    x = 43,234,731.44/7,189.68
  6. Step 6: Final answer
    x = 6,013.44

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1.5x scale

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.