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Finding the Fourth Proportional to 7,766.84, 10,718.22 and 4,230.02

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Solution

The fourth proportional to 7,766.84, 10,718.22 and 4,230.02 is: 5,837.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,766.84 : 10,718.22 = 4,230.02 : x
  2. Step 2: Convert to fraction form
    7,766.84/10,718.22 = 4,230.02/x
  3. Step 3: Cross multiply
    7,766.84x = 10,718.22 × 4,230.02
  4. Step 4: Simplify right side
    7,766.84x = 45,338,327.62
  5. Step 5: Solve for x
    x = 45,338,327.62/7,766.84
  6. Step 6: Final answer
    x = 5,837.42

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1.5x scale

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.