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Finding the Fourth Proportional to 6,206.50, 9,307.92 and 2,649.20

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Solution

The fourth proportional to 6,206.50, 9,307.92 and 2,649.20 is: 3,973.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,206.50 : 9,307.92 = 2,649.20 : x
  2. Step 2: Convert to fraction form
    6,206.50/9,307.92 = 2,649.20/x
  3. Step 3: Cross multiply
    6,206.50x = 9,307.92 × 2,649.20
  4. Step 4: Simplify right side
    6,206.50x = 24,658,541.66
  5. Step 5: Solve for x
    x = 24,658,541.66/6,206.50
  6. Step 6: Final answer
    x = 3,973.02

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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.