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Finding the Fourth Proportional to 5,876.70, 7,821.20 and 5,876.70

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Solution

The fourth proportional to 5,876.70, 7,821.20 and 5,876.70 is: 7,821.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,876.70 : 7,821.20 = 5,876.70 : x
  2. Step 2: Convert to fraction form
    5,876.70/7,821.20 = 5,876.70/x
  3. Step 3: Cross multiply
    5,876.70x = 7,821.20 × 5,876.70
  4. Step 4: Simplify right side
    5,876.70x = 45,962,816.66
  5. Step 5: Solve for x
    x = 45,962,816.66/5,876.70
  6. Step 6: Final answer
    x = 7,821.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.