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Finding the Fourth Proportional to 7,867.51, 11,794.09 and 7,182.72

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Solution

The fourth proportional to 7,867.51, 11,794.09 and 7,182.72 is: 10,767.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,867.51 : 11,794.09 = 7,182.72 : x
  2. Step 2: Convert to fraction form
    7,867.51/11,794.09 = 7,182.72/x
  3. Step 3: Cross multiply
    7,867.51x = 11,794.09 × 7,182.72
  4. Step 4: Simplify right side
    7,867.51x = 84,713,646.12
  5. Step 5: Solve for x
    x = 84,713,646.12/7,867.51
  6. Step 6: Final answer
    x = 10,767.53

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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.