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Finding the Fourth Proportional to 6,677.96, 10,016.46 and 2,980.52

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Solution

The fourth proportional to 6,677.96, 10,016.46 and 2,980.52 is: 4,470.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,677.96 : 10,016.46 = 2,980.52 : x
  2. Step 2: Convert to fraction form
    6,677.96/10,016.46 = 2,980.52/x
  3. Step 3: Cross multiply
    6,677.96x = 10,016.46 × 2,980.52
  4. Step 4: Simplify right side
    6,677.96x = 29,854,259.36
  5. Step 5: Solve for x
    x = 29,854,259.36/6,677.96
  6. Step 6: Final answer
    x = 4,470.57

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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.