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Finding the Fourth Proportional to 7,726.80, 10,832.10 and 7,726.80

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Solution

The fourth proportional to 7,726.80, 10,832.10 and 7,726.80 is: 10,832.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,726.80 : 10,832.10 = 7,726.80 : x
  2. Step 2: Convert to fraction form
    7,726.80/10,832.10 = 7,726.80/x
  3. Step 3: Cross multiply
    7,726.80x = 10,832.10 × 7,726.80
  4. Step 4: Simplify right side
    7,726.80x = 83,697,470.28
  5. Step 5: Solve for x
    x = 83,697,470.28/7,726.80
  6. Step 6: Final answer
    x = 10,832.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.