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Finding the Fourth Proportional to 10,750.84, 16,137.12 and 7,634.32

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Solution

The fourth proportional to 10,750.84, 16,137.12 and 7,634.32 is: 11,459.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,750.84 : 16,137.12 = 7,634.32 : x
  2. Step 2: Convert to fraction form
    10,750.84/16,137.12 = 7,634.32/x
  3. Step 3: Cross multiply
    10,750.84x = 16,137.12 × 7,634.32
  4. Step 4: Simplify right side
    10,750.84x = 123,195,937.96
  5. Step 5: Solve for x
    x = 123,195,937.96/10,750.84
  6. Step 6: Final answer
    x = 11,459.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.