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Finding the Fourth Proportional to 7,747.25, 10,692.90 and 5,094.90

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Solution

The fourth proportional to 7,747.25, 10,692.90 and 5,094.90 is: 7,032.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,747.25 : 10,692.90 = 5,094.90 : x
  2. Step 2: Convert to fraction form
    7,747.25/10,692.90 = 5,094.90/x
  3. Step 3: Cross multiply
    7,747.25x = 10,692.90 × 5,094.90
  4. Step 4: Simplify right side
    7,747.25x = 54,479,256.21
  5. Step 5: Solve for x
    x = 54,479,256.21/7,747.25
  6. Step 6: Final answer
    x = 7,032.08

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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.