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Finding the Fourth Proportional to 4,773.68, 6,568.36 and 4,658.48

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Solution

The fourth proportional to 4,773.68, 6,568.36 and 4,658.48 is: 6,409.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,773.68 : 6,568.36 = 4,658.48 : x
  2. Step 2: Convert to fraction form
    4,773.68/6,568.36 = 4,658.48/x
  3. Step 3: Cross multiply
    4,773.68x = 6,568.36 × 4,658.48
  4. Step 4: Simplify right side
    4,773.68x = 30,598,573.69
  5. Step 5: Solve for x
    x = 30,598,573.69/4,773.68
  6. Step 6: Final answer
    x = 6,409.85

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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.