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Finding the Fourth Proportional to 28,309.60, 42,464.28 and 7,249.60

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Solution

The fourth proportional to 28,309.60, 42,464.28 and 7,249.60 is: 10,874.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,309.60 : 42,464.28 = 7,249.60 : x
  2. Step 2: Convert to fraction form
    28,309.60/42,464.28 = 7,249.60/x
  3. Step 3: Cross multiply
    28,309.60x = 42,464.28 × 7,249.60
  4. Step 4: Simplify right side
    28,309.60x = 307,849,044.29
  5. Step 5: Solve for x
    x = 307,849,044.29/28,309.60
  6. Step 6: Final answer
    x = 10,874.37

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1.5x scale

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.