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Finding the Fourth Proportional to 7,508.80, 10,362.09 and 4,151.62

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Solution

The fourth proportional to 7,508.80, 10,362.09 and 4,151.62 is: 5,729.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,508.80 : 10,362.09 = 4,151.62 : x
  2. Step 2: Convert to fraction form
    7,508.80/10,362.09 = 4,151.62/x
  3. Step 3: Cross multiply
    7,508.80x = 10,362.09 × 4,151.62
  4. Step 4: Simplify right side
    7,508.80x = 43,019,460.09
  5. Step 5: Solve for x
    x = 43,019,460.09/7,508.80
  6. Step 6: Final answer
    x = 5,729.21

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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.