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Finding the Fourth Proportional to 7,703.10, 11,566.80 and 4,422.60

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Solution

The fourth proportional to 7,703.10, 11,566.80 and 4,422.60 is: 6,640.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,703.10 : 11,566.80 = 4,422.60 : x
  2. Step 2: Convert to fraction form
    7,703.10/11,566.80 = 4,422.60/x
  3. Step 3: Cross multiply
    7,703.10x = 11,566.80 × 4,422.60
  4. Step 4: Simplify right side
    7,703.10x = 51,155,329.68
  5. Step 5: Solve for x
    x = 51,155,329.68/7,703.10
  6. Step 6: Final answer
    x = 6,640.88

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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.