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Finding the Fourth Proportional to 11,495.88, 15,864.12 and 6,780.60

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Solution

The fourth proportional to 11,495.88, 15,864.12 and 6,780.60 is: 9,357.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,495.88 : 15,864.12 = 6,780.60 : x
  2. Step 2: Convert to fraction form
    11,495.88/15,864.12 = 6,780.60/x
  3. Step 3: Cross multiply
    11,495.88x = 15,864.12 × 6,780.60
  4. Step 4: Simplify right side
    11,495.88x = 107,568,252.07
  5. Step 5: Solve for x
    x = 107,568,252.07/11,495.88
  6. Step 6: Final answer
    x = 9,357.11

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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.