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Finding the Fourth Proportional to 6,154.44, 9,222.18 and 4,177.50

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Solution

The fourth proportional to 6,154.44, 9,222.18 and 4,177.50 is: 6,259.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,154.44 : 9,222.18 = 4,177.50 : x
  2. Step 2: Convert to fraction form
    6,154.44/9,222.18 = 4,177.50/x
  3. Step 3: Cross multiply
    6,154.44x = 9,222.18 × 4,177.50
  4. Step 4: Simplify right side
    6,154.44x = 38,525,656.95
  5. Step 5: Solve for x
    x = 38,525,656.95/6,154.44
  6. Step 6: Final answer
    x = 6,259.82

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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.