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Finding the Fourth Proportional to 11,774.62, 17,746.60 and 10,150.77

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Solution

The fourth proportional to 11,774.62, 17,746.60 and 10,150.77 is: 15,299.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,774.62 : 17,746.60 = 10,150.77 : x
  2. Step 2: Convert to fraction form
    11,774.62/17,746.60 = 10,150.77/x
  3. Step 3: Cross multiply
    11,774.62x = 17,746.60 × 10,150.77
  4. Step 4: Simplify right side
    11,774.62x = 180,141,654.88
  5. Step 5: Solve for x
    x = 180,141,654.88/11,774.62
  6. Step 6: Final answer
    x = 15,299.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.