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Finding the Fourth Proportional to 7,734.08, 10,655.52 and 7,365.44

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Solution

The fourth proportional to 7,734.08, 10,655.52 and 7,365.44 is: 10,147.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,734.08 : 10,655.52 = 7,365.44 : x
  2. Step 2: Convert to fraction form
    7,734.08/10,655.52 = 7,365.44/x
  3. Step 3: Cross multiply
    7,734.08x = 10,655.52 × 7,365.44
  4. Step 4: Simplify right side
    7,734.08x = 78,482,593.23
  5. Step 5: Solve for x
    x = 78,482,593.23/7,734.08
  6. Step 6: Final answer
    x = 10,147.63

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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.