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Finding the Fourth Proportional to 24,446.16, 36,669.24 and 5,978.16

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Solution

The fourth proportional to 24,446.16, 36,669.24 and 5,978.16 is: 8,967.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,446.16 : 36,669.24 = 5,978.16 : x
  2. Step 2: Convert to fraction form
    24,446.16/36,669.24 = 5,978.16/x
  3. Step 3: Cross multiply
    24,446.16x = 36,669.24 × 5,978.16
  4. Step 4: Simplify right side
    24,446.16x = 219,214,583.80
  5. Step 5: Solve for x
    x = 219,214,583.80/24,446.16
  6. Step 6: Final answer
    x = 8,967.24

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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.