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Finding the Fourth Proportional to 6,148.04, 9,221.18 and 1,987.50

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Solution

The fourth proportional to 6,148.04, 9,221.18 and 1,987.50 is: 2,980.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,148.04 : 9,221.18 = 1,987.50 : x
  2. Step 2: Convert to fraction form
    6,148.04/9,221.18 = 1,987.50/x
  3. Step 3: Cross multiply
    6,148.04x = 9,221.18 × 1,987.50
  4. Step 4: Simplify right side
    6,148.04x = 18,327,119.89
  5. Step 5: Solve for x
    x = 18,327,119.89/6,148.04
  6. Step 6: Final answer
    x = 2,980.97

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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.