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Finding the Fourth Proportional to 24,932.16, 37,398.42 and 6,464.16

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Solution

The fourth proportional to 24,932.16, 37,398.42 and 6,464.16 is: 9,696.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,932.16 : 37,398.42 = 6,464.16 : x
  2. Step 2: Convert to fraction form
    24,932.16/37,398.42 = 6,464.16/x
  3. Step 3: Cross multiply
    24,932.16x = 37,398.42 × 6,464.16
  4. Step 4: Simplify right side
    24,932.16x = 241,749,370.63
  5. Step 5: Solve for x
    x = 241,749,370.63/24,932.16
  6. Step 6: Final answer
    x = 9,696.29

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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.