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Finding the Fourth Proportional to 9,104.50, 13,657.47 and 2,948.50

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Solution

The fourth proportional to 9,104.50, 13,657.47 and 2,948.50 is: 4,422.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,104.50 : 13,657.47 = 2,948.50 : x
  2. Step 2: Convert to fraction form
    9,104.50/13,657.47 = 2,948.50/x
  3. Step 3: Cross multiply
    9,104.50x = 13,657.47 × 2,948.50
  4. Step 4: Simplify right side
    9,104.50x = 40,269,050.30
  5. Step 5: Solve for x
    x = 40,269,050.30/9,104.50
  6. Step 6: Final answer
    x = 4,422.98

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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.