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Finding the Fourth Proportional to 24,000, 36,000.83 and 6,470.25

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Solution

The fourth proportional to 24,000, 36,000.83 and 6,470.25 is: 9,705.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,000 : 36,000.83 = 6,470.25 : x
  2. Step 2: Convert to fraction form
    24,000/36,000.83 = 6,470.25/x
  3. Step 3: Cross multiply
    24,000x = 36,000.83 × 6,470.25
  4. Step 4: Simplify right side
    24,000x = 232,934,370.31
  5. Step 5: Solve for x
    x = 232,934,370.31/24,000
  6. Step 6: Final answer
    x = 9,705.60

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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.