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Finding the Fourth Proportional to 11,774.97, 17,652.60 and 8,068.14

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Solution

The fourth proportional to 11,774.97, 17,652.60 and 8,068.14 is: 12,095.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,774.97 : 17,652.60 = 8,068.14 : x
  2. Step 2: Convert to fraction form
    11,774.97/17,652.60 = 8,068.14/x
  3. Step 3: Cross multiply
    11,774.97x = 17,652.60 × 8,068.14
  4. Step 4: Simplify right side
    11,774.97x = 142,423,648.16
  5. Step 5: Solve for x
    x = 142,423,648.16/11,774.97
  6. Step 6: Final answer
    x = 12,095.46

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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.