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Finding the Fourth Proportional to 6,766.32, 9,343.26 and 5,653.20

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Solution

The fourth proportional to 6,766.32, 9,343.26 and 5,653.20 is: 7,806.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,766.32 : 9,343.26 = 5,653.20 : x
  2. Step 2: Convert to fraction form
    6,766.32/9,343.26 = 5,653.20/x
  3. Step 3: Cross multiply
    6,766.32x = 9,343.26 × 5,653.20
  4. Step 4: Simplify right side
    6,766.32x = 52,819,317.43
  5. Step 5: Solve for x
    x = 52,819,317.43/6,766.32
  6. Step 6: Final answer
    x = 7,806.21

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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.