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Finding the Fourth Proportional to 7,229.76, 10,830.31 and 5,662.46

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Solution

The fourth proportional to 7,229.76, 10,830.31 and 5,662.46 is: 8,482.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,229.76 : 10,830.31 = 5,662.46 : x
  2. Step 2: Convert to fraction form
    7,229.76/10,830.31 = 5,662.46/x
  3. Step 3: Cross multiply
    7,229.76x = 10,830.31 × 5,662.46
  4. Step 4: Simplify right side
    7,229.76x = 61,326,149.16
  5. Step 5: Solve for x
    x = 61,326,149.16/7,229.76
  6. Step 6: Final answer
    x = 8,482.46

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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.