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Finding the Fourth Proportional to 7,867.67, 10,858.73 and 5,348.07

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Solution

The fourth proportional to 7,867.67, 10,858.73 and 5,348.07 is: 7,381.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,867.67 : 10,858.73 = 5,348.07 : x
  2. Step 2: Convert to fraction form
    7,867.67/10,858.73 = 5,348.07/x
  3. Step 3: Cross multiply
    7,867.67x = 10,858.73 × 5,348.07
  4. Step 4: Simplify right side
    7,867.67x = 58,073,221.41
  5. Step 5: Solve for x
    x = 58,073,221.41/7,867.67
  6. Step 6: Final answer
    x = 7,381.25

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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.