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Finding the Fourth Proportional to 10,135.62, 13,984.62 and 6,156.90

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Solution

The fourth proportional to 10,135.62, 13,984.62 and 6,156.90 is: 8,494.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,135.62 : 13,984.62 = 6,156.90 : x
  2. Step 2: Convert to fraction form
    10,135.62/13,984.62 = 6,156.90/x
  3. Step 3: Cross multiply
    10,135.62x = 13,984.62 × 6,156.90
  4. Step 4: Simplify right side
    10,135.62x = 86,101,906.88
  5. Step 5: Solve for x
    x = 86,101,906.88/10,135.62
  6. Step 6: Final answer
    x = 8,494.98

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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.