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Finding the Fourth Proportional to 7,886.93, 10,850.42 and 7,668.23

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Solution

The fourth proportional to 7,886.93, 10,850.42 and 7,668.23 is: 10,549.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,886.93 : 10,850.42 = 7,668.23 : x
  2. Step 2: Convert to fraction form
    7,886.93/10,850.42 = 7,668.23/x
  3. Step 3: Cross multiply
    7,886.93x = 10,850.42 × 7,668.23
  4. Step 4: Simplify right side
    7,886.93x = 83,203,481.08
  5. Step 5: Solve for x
    x = 83,203,481.08/7,886.93
  6. Step 6: Final answer
    x = 10,549.55

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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.