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Finding the Fourth Proportional to 6,603.50, 9,904.17 and 4,649.78

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Solution

The fourth proportional to 6,603.50, 9,904.17 and 4,649.78 is: 6,973.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,603.50 : 9,904.17 = 4,649.78 : x
  2. Step 2: Convert to fraction form
    6,603.50/9,904.17 = 4,649.78/x
  3. Step 3: Cross multiply
    6,603.50x = 9,904.17 × 4,649.78
  4. Step 4: Simplify right side
    6,603.50x = 46,052,211.58
  5. Step 5: Solve for x
    x = 46,052,211.58/6,603.50
  6. Step 6: Final answer
    x = 6,973.91

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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.