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Finding the Fourth Proportional to 7,700.78, 11,490.70 and 7,230.56

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Solution

The fourth proportional to 7,700.78, 11,490.70 and 7,230.56 is: 10,789.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,700.78 : 11,490.70 = 7,230.56 : x
  2. Step 2: Convert to fraction form
    7,700.78/11,490.70 = 7,230.56/x
  3. Step 3: Cross multiply
    7,700.78x = 11,490.70 × 7,230.56
  4. Step 4: Simplify right side
    7,700.78x = 83,084,195.79
  5. Step 5: Solve for x
    x = 83,084,195.79/7,700.78
  6. Step 6: Final answer
    x = 10,789.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.