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Finding the Fourth Proportional to 7,718.80, 10,651.44 and 4,924

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Solution

The fourth proportional to 7,718.80, 10,651.44 and 4,924 is: 6,794.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,718.80 : 10,651.44 = 4,924 : x
  2. Step 2: Convert to fraction form
    7,718.80/10,651.44 = 4,924/x
  3. Step 3: Cross multiply
    7,718.80x = 10,651.44 × 4,924
  4. Step 4: Simplify right side
    7,718.80x = 52,447,690.56
  5. Step 5: Solve for x
    x = 52,447,690.56/7,718.80
  6. Step 6: Final answer
    x = 6,794.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.