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Finding the Fourth Proportional to 7,754.25, 10,701 and 4,217.52

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Solution

The fourth proportional to 7,754.25, 10,701 and 4,217.52 is: 5,820.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,754.25 : 10,701 = 4,217.52 : x
  2. Step 2: Convert to fraction form
    7,754.25/10,701 = 4,217.52/x
  3. Step 3: Cross multiply
    7,754.25x = 10,701 × 4,217.52
  4. Step 4: Simplify right side
    7,754.25x = 45,131,681.52
  5. Step 5: Solve for x
    x = 45,131,681.52/7,754.25
  6. Step 6: Final answer
    x = 5,820.25

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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.