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Finding the Fourth Proportional to 6,700.78, 10,034.70 and 5,523.58

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Solution

The fourth proportional to 6,700.78, 10,034.70 and 5,523.58 is: 8,271.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,700.78 : 10,034.70 = 5,523.58 : x
  2. Step 2: Convert to fraction form
    6,700.78/10,034.70 = 5,523.58/x
  3. Step 3: Cross multiply
    6,700.78x = 10,034.70 × 5,523.58
  4. Step 4: Simplify right side
    6,700.78x = 55,427,468.23
  5. Step 5: Solve for x
    x = 55,427,468.23/6,700.78
  6. Step 6: Final answer
    x = 8,271.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.