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Finding the Fourth Proportional to 9,718.80, 14,578.20 and 6,817.56

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Solution

The fourth proportional to 9,718.80, 14,578.20 and 6,817.56 is: 10,226.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,718.80 : 14,578.20 = 6,817.56 : x
  2. Step 2: Convert to fraction form
    9,718.80/14,578.20 = 6,817.56/x
  3. Step 3: Cross multiply
    9,718.80x = 14,578.20 × 6,817.56
  4. Step 4: Simplify right side
    9,718.80x = 99,387,753.19
  5. Step 5: Solve for x
    x = 99,387,753.19/9,718.80
  6. Step 6: Final answer
    x = 10,226.34

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Similar ratio
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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.