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Finding the Fourth Proportional to 24,000.39, 35,995.14 and 6,471.63

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Solution

The fourth proportional to 24,000.39, 35,995.14 and 6,471.63 is: 9,705.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,000.39 : 35,995.14 = 6,471.63 : x
  2. Step 2: Convert to fraction form
    24,000.39/35,995.14 = 6,471.63/x
  3. Step 3: Cross multiply
    24,000.39x = 35,995.14 × 6,471.63
  4. Step 4: Simplify right side
    24,000.39x = 232,947,227.88
  5. Step 5: Solve for x
    x = 232,947,227.88/24,000.39
  6. Step 6: Final answer
    x = 9,705.98

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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.