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Finding the Fourth Proportional to 7,470.26, 11,205.12 and 2,276

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Solution

The fourth proportional to 7,470.26, 11,205.12 and 2,276 is: 3,413.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,470.26 : 11,205.12 = 2,276 : x
  2. Step 2: Convert to fraction form
    7,470.26/11,205.12 = 2,276/x
  3. Step 3: Cross multiply
    7,470.26x = 11,205.12 × 2,276
  4. Step 4: Simplify right side
    7,470.26x = 25,502,853.12
  5. Step 5: Solve for x
    x = 25,502,853.12/7,470.26
  6. Step 6: Final answer
    x = 3,413.92

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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.