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Finding the Fourth Proportional to 9,003, 12,424.31 and 5,023.68

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Solution

The fourth proportional to 9,003, 12,424.31 and 5,023.68 is: 6,932.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,003 : 12,424.31 = 5,023.68 : x
  2. Step 2: Convert to fraction form
    9,003/12,424.31 = 5,023.68/x
  3. Step 3: Cross multiply
    9,003x = 12,424.31 × 5,023.68
  4. Step 4: Simplify right side
    9,003x = 62,415,757.66
  5. Step 5: Solve for x
    x = 62,415,757.66/9,003
  6. Step 6: Final answer
    x = 6,932.77

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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.