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Finding the Fourth Proportional to 4,600.77, 6,899.75 and 1,678.38

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Solution

The fourth proportional to 4,600.77, 6,899.75 and 1,678.38 is: 2,517.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,600.77 : 6,899.75 = 1,678.38 : x
  2. Step 2: Convert to fraction form
    4,600.77/6,899.75 = 1,678.38/x
  3. Step 3: Cross multiply
    4,600.77x = 6,899.75 × 1,678.38
  4. Step 4: Simplify right side
    4,600.77x = 11,580,402.41
  5. Step 5: Solve for x
    x = 11,580,402.41/4,600.77
  6. Step 6: Final answer
    x = 2,517.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.