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Finding the Fourth Proportional to 7,470.84, 11,207.49 and 2,275.50

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Solution

The fourth proportional to 7,470.84, 11,207.49 and 2,275.50 is: 3,413.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,470.84 : 11,207.49 = 2,275.50 : x
  2. Step 2: Convert to fraction form
    7,470.84/11,207.49 = 2,275.50/x
  3. Step 3: Cross multiply
    7,470.84x = 11,207.49 × 2,275.50
  4. Step 4: Simplify right side
    7,470.84x = 25,502,643.50
  5. Step 5: Solve for x
    x = 25,502,643.50/7,470.84
  6. Step 6: Final answer
    x = 3,413.62

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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.