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Finding the Fourth Proportional to 7,752.54, 10,700.73 and 5,769.66

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Solution

The fourth proportional to 7,752.54, 10,700.73 and 5,769.66 is: 7,963.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,752.54 : 10,700.73 = 5,769.66 : x
  2. Step 2: Convert to fraction form
    7,752.54/10,700.73 = 5,769.66/x
  3. Step 3: Cross multiply
    7,752.54x = 10,700.73 × 5,769.66
  4. Step 4: Simplify right side
    7,752.54x = 61,739,573.85
  5. Step 5: Solve for x
    x = 61,739,573.85/7,752.54
  6. Step 6: Final answer
    x = 7,963.79

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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.