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Finding the Fourth Proportional to 4,663.68, 6,422 and 4,560.22

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Solution

The fourth proportional to 4,663.68, 6,422 and 4,560.22 is: 6,279.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,663.68 : 6,422 = 4,560.22 : x
  2. Step 2: Convert to fraction form
    4,663.68/6,422 = 4,560.22/x
  3. Step 3: Cross multiply
    4,663.68x = 6,422 × 4,560.22
  4. Step 4: Simplify right side
    4,663.68x = 29,285,732.84
  5. Step 5: Solve for x
    x = 29,285,732.84/4,663.68
  6. Step 6: Final answer
    x = 6,279.53

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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.