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Finding the Fourth Proportional to 6,194.04, 9,291.54 and 1,577

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Solution

The fourth proportional to 6,194.04, 9,291.54 and 1,577 is: 2,365.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,194.04 : 9,291.54 = 1,577 : x
  2. Step 2: Convert to fraction form
    6,194.04/9,291.54 = 1,577/x
  3. Step 3: Cross multiply
    6,194.04x = 9,291.54 × 1,577
  4. Step 4: Simplify right side
    6,194.04x = 14,652,758.58
  5. Step 5: Solve for x
    x = 14,652,758.58/6,194.04
  6. Step 6: Final answer
    x = 2,365.62

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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.