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Finding the Fourth Proportional to 7,806.53, 10,772.25 and 4,449.26

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Solution

The fourth proportional to 7,806.53, 10,772.25 and 4,449.26 is: 6,139.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,806.53 : 10,772.25 = 4,449.26 : x
  2. Step 2: Convert to fraction form
    7,806.53/10,772.25 = 4,449.26/x
  3. Step 3: Cross multiply
    7,806.53x = 10,772.25 × 4,449.26
  4. Step 4: Simplify right side
    7,806.53x = 47,928,487.17
  5. Step 5: Solve for x
    x = 47,928,487.17/7,806.53
  6. Step 6: Final answer
    x = 6,139.54

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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.