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Finding the Fourth Proportional to 6,117.22, 9,178.02 and 3,774.50

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Solution

The fourth proportional to 6,117.22, 9,178.02 and 3,774.50 is: 5,663.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,117.22 : 9,178.02 = 3,774.50 : x
  2. Step 2: Convert to fraction form
    6,117.22/9,178.02 = 3,774.50/x
  3. Step 3: Cross multiply
    6,117.22x = 9,178.02 × 3,774.50
  4. Step 4: Simplify right side
    6,117.22x = 34,642,436.49
  5. Step 5: Solve for x
    x = 34,642,436.49/6,117.22
  6. Step 6: Final answer
    x = 5,663.10

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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.