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Finding the Fourth Proportional to 5,225.49, 7,866.76 and 4,766.22

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Solution

The fourth proportional to 5,225.49, 7,866.76 and 4,766.22 is: 7,175.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,225.49 : 7,866.76 = 4,766.22 : x
  2. Step 2: Convert to fraction form
    5,225.49/7,866.76 = 4,766.22/x
  3. Step 3: Cross multiply
    5,225.49x = 7,866.76 × 4,766.22
  4. Step 4: Simplify right side
    5,225.49x = 37,494,685.02
  5. Step 5: Solve for x
    x = 37,494,685.02/5,225.49
  6. Step 6: Final answer
    x = 7,175.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.