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Finding the Fourth Proportional to 6,047.57, 9,070.67 and 2,098.10

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Solution

The fourth proportional to 6,047.57, 9,070.67 and 2,098.10 is: 3,146.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,047.57 : 9,070.67 = 2,098.10 : x
  2. Step 2: Convert to fraction form
    6,047.57/9,070.67 = 2,098.10/x
  3. Step 3: Cross multiply
    6,047.57x = 9,070.67 × 2,098.10
  4. Step 4: Simplify right side
    6,047.57x = 19,031,200.65
  5. Step 5: Solve for x
    x = 19,031,200.65/6,047.57
  6. Step 6: Final answer
    x = 3,146.92

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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.