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Finding the Fourth Proportional to 5,704.70, 7,884.15 and 5,704.70

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Solution

The fourth proportional to 5,704.70, 7,884.15 and 5,704.70 is: 7,884.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,704.70 : 7,884.15 = 5,704.70 : x
  2. Step 2: Convert to fraction form
    5,704.70/7,884.15 = 5,704.70/x
  3. Step 3: Cross multiply
    5,704.70x = 7,884.15 × 5,704.70
  4. Step 4: Simplify right side
    5,704.70x = 44,976,710.51
  5. Step 5: Solve for x
    x = 44,976,710.51/5,704.70
  6. Step 6: Final answer
    x = 7,884.15

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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.