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Finding the Fourth Proportional to 10,574.97, 14,590.13 and 6,098.11

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Solution

The fourth proportional to 10,574.97, 14,590.13 and 6,098.11 is: 8,413.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,574.97 : 14,590.13 = 6,098.11 : x
  2. Step 2: Convert to fraction form
    10,574.97/14,590.13 = 6,098.11/x
  3. Step 3: Cross multiply
    10,574.97x = 14,590.13 × 6,098.11
  4. Step 4: Simplify right side
    10,574.97x = 88,972,217.65
  5. Step 5: Solve for x
    x = 88,972,217.65/10,574.97
  6. Step 6: Final answer
    x = 8,413.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.