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Finding the Fourth Proportional to 6,478.50, 9,716.70 and 2,317.73

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Solution

The fourth proportional to 6,478.50, 9,716.70 and 2,317.73 is: 3,476.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,478.50 : 9,716.70 = 2,317.73 : x
  2. Step 2: Convert to fraction form
    6,478.50/9,716.70 = 2,317.73/x
  3. Step 3: Cross multiply
    6,478.50x = 9,716.70 × 2,317.73
  4. Step 4: Simplify right side
    6,478.50x = 22,520,638.51
  5. Step 5: Solve for x
    x = 22,520,638.51/6,478.50
  6. Step 6: Final answer
    x = 3,476.21

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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.