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Finding the Fourth Proportional to 11,774.70, 17,656.35 and 6,845.76

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Solution

The fourth proportional to 11,774.70, 17,656.35 and 6,845.76 is: 10,265.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,774.70 : 17,656.35 = 6,845.76 : x
  2. Step 2: Convert to fraction form
    11,774.70/17,656.35 = 6,845.76/x
  3. Step 3: Cross multiply
    11,774.70x = 17,656.35 × 6,845.76
  4. Step 4: Simplify right side
    11,774.70x = 120,871,134.58
  5. Step 5: Solve for x
    x = 120,871,134.58/11,774.70
  6. Step 6: Final answer
    x = 10,265.33

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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.