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Finding the Fourth Proportional to 4,661.56, 6,414.64 and 4,632.76

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Solution

The fourth proportional to 4,661.56, 6,414.64 and 4,632.76 is: 6,375.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,661.56 : 6,414.64 = 4,632.76 : x
  2. Step 2: Convert to fraction form
    4,661.56/6,414.64 = 4,632.76/x
  3. Step 3: Cross multiply
    4,661.56x = 6,414.64 × 4,632.76
  4. Step 4: Simplify right side
    4,661.56x = 29,717,487.61
  5. Step 5: Solve for x
    x = 29,717,487.61/4,661.56
  6. Step 6: Final answer
    x = 6,375.01

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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.