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Finding the Fourth Proportional to 7,952.85, 10,976.13 and 5,722.11

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Solution

The fourth proportional to 7,952.85, 10,976.13 and 5,722.11 is: 7,897.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,952.85 : 10,976.13 = 5,722.11 : x
  2. Step 2: Convert to fraction form
    7,952.85/10,976.13 = 5,722.11/x
  3. Step 3: Cross multiply
    7,952.85x = 10,976.13 × 5,722.11
  4. Step 4: Simplify right side
    7,952.85x = 62,806,623.23
  5. Step 5: Solve for x
    x = 62,806,623.23/7,952.85
  6. Step 6: Final answer
    x = 7,897.37

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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.