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Finding the Fourth Proportional to 5,703.70, 7,882.77 and 5,703.70

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Solution

The fourth proportional to 5,703.70, 7,882.77 and 5,703.70 is: 7,882.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,703.70 : 7,882.77 = 5,703.70 : x
  2. Step 2: Convert to fraction form
    5,703.70/7,882.77 = 5,703.70/x
  3. Step 3: Cross multiply
    5,703.70x = 7,882.77 × 5,703.70
  4. Step 4: Simplify right side
    5,703.70x = 44,960,955.25
  5. Step 5: Solve for x
    x = 44,960,955.25/5,703.70
  6. Step 6: Final answer
    x = 7,882.77

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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.