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Finding the Fourth Proportional to 6,505.86, 9,744.96 and 2,998.74

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Solution

The fourth proportional to 6,505.86, 9,744.96 and 2,998.74 is: 4,491.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,505.86 : 9,744.96 = 2,998.74 : x
  2. Step 2: Convert to fraction form
    6,505.86/9,744.96 = 2,998.74/x
  3. Step 3: Cross multiply
    6,505.86x = 9,744.96 × 2,998.74
  4. Step 4: Simplify right side
    6,505.86x = 29,222,601.35
  5. Step 5: Solve for x
    x = 29,222,601.35/6,505.86
  6. Step 6: Final answer
    x = 4,491.74

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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.