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Finding the Fourth Proportional to 6,050, 9,122.54 and 4,909.52

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Solution

The fourth proportional to 6,050, 9,122.54 and 4,909.52 is: 7,402.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,050 : 9,122.54 = 4,909.52 : x
  2. Step 2: Convert to fraction form
    6,050/9,122.54 = 4,909.52/x
  3. Step 3: Cross multiply
    6,050x = 9,122.54 × 4,909.52
  4. Step 4: Simplify right side
    6,050x = 44,787,292.58
  5. Step 5: Solve for x
    x = 44,787,292.58/6,050
  6. Step 6: Final answer
    x = 7,402.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.