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Finding the Fourth Proportional to 6,118, 9,176.98 and 1,735.46

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Solution

The fourth proportional to 6,118, 9,176.98 and 1,735.46 is: 2,603.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,118 : 9,176.98 = 1,735.46 : x
  2. Step 2: Convert to fraction form
    6,118/9,176.98 = 1,735.46/x
  3. Step 3: Cross multiply
    6,118x = 9,176.98 × 1,735.46
  4. Step 4: Simplify right side
    6,118x = 15,926,281.71
  5. Step 5: Solve for x
    x = 15,926,281.71/6,118
  6. Step 6: Final answer
    x = 2,603.18

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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.