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Finding the Fourth Proportional to 9,187.84, 12,679.06 and 4,996.12

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Solution

The fourth proportional to 9,187.84, 12,679.06 and 4,996.12 is: 6,894.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,187.84 : 12,679.06 = 4,996.12 : x
  2. Step 2: Convert to fraction form
    9,187.84/12,679.06 = 4,996.12/x
  3. Step 3: Cross multiply
    9,187.84x = 12,679.06 × 4,996.12
  4. Step 4: Simplify right side
    9,187.84x = 63,346,105.25
  5. Step 5: Solve for x
    x = 63,346,105.25/9,187.84
  6. Step 6: Final answer
    x = 6,894.56

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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.