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Finding the Fourth Proportional to 9,044.46, 13,564.80 and 2,470.50

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Solution

The fourth proportional to 9,044.46, 13,564.80 and 2,470.50 is: 3,705.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,044.46 : 13,564.80 = 2,470.50 : x
  2. Step 2: Convert to fraction form
    9,044.46/13,564.80 = 2,470.50/x
  3. Step 3: Cross multiply
    9,044.46x = 13,564.80 × 2,470.50
  4. Step 4: Simplify right side
    9,044.46x = 33,511,838.40
  5. Step 5: Solve for x
    x = 33,511,838.40/9,044.46
  6. Step 6: Final answer
    x = 3,705.23

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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.