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Finding the Fourth Proportional to 6,197, 9,296.06 and 1,580

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Solution

The fourth proportional to 6,197, 9,296.06 and 1,580 is: 2,370.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,197 : 9,296.06 = 1,580 : x
  2. Step 2: Convert to fraction form
    6,197/9,296.06 = 1,580/x
  3. Step 3: Cross multiply
    6,197x = 9,296.06 × 1,580
  4. Step 4: Simplify right side
    6,197x = 14,687,774.80
  5. Step 5: Solve for x
    x = 14,687,774.80/6,197
  6. Step 6: Final answer
    x = 2,370.14

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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.