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Finding the Fourth Proportional to 24,546.40, 36,819.56 and 6,078.40

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Solution

The fourth proportional to 24,546.40, 36,819.56 and 6,078.40 is: 9,117.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,546.40 : 36,819.56 = 6,078.40 : x
  2. Step 2: Convert to fraction form
    24,546.40/36,819.56 = 6,078.40/x
  3. Step 3: Cross multiply
    24,546.40x = 36,819.56 × 6,078.40
  4. Step 4: Simplify right side
    24,546.40x = 223,804,013.50
  5. Step 5: Solve for x
    x = 223,804,013.50/24,546.40
  6. Step 6: Final answer
    x = 9,117.59

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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.