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Finding the Fourth Proportional to 6,710.70, 10,062.43 and 5,146.84

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Solution

The fourth proportional to 6,710.70, 10,062.43 and 5,146.84 is: 7,717.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,710.70 : 10,062.43 = 5,146.84 : x
  2. Step 2: Convert to fraction form
    6,710.70/10,062.43 = 5,146.84/x
  3. Step 3: Cross multiply
    6,710.70x = 10,062.43 × 5,146.84
  4. Step 4: Simplify right side
    6,710.70x = 51,789,716.93
  5. Step 5: Solve for x
    x = 51,789,716.93/6,710.70
  6. Step 6: Final answer
    x = 7,717.49

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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.