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Finding the Fourth Proportional to 7,720.25, 10,651.47 and 4,734.59

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Solution

The fourth proportional to 7,720.25, 10,651.47 and 4,734.59 is: 6,532.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,720.25 : 10,651.47 = 4,734.59 : x
  2. Step 2: Convert to fraction form
    7,720.25/10,651.47 = 4,734.59/x
  3. Step 3: Cross multiply
    7,720.25x = 10,651.47 × 4,734.59
  4. Step 4: Simplify right side
    7,720.25x = 50,430,343.35
  5. Step 5: Solve for x
    x = 50,430,343.35/7,720.25
  6. Step 6: Final answer
    x = 6,532.22

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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.