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Finding the Fourth Proportional to 6,894.66, 10,268.97 and 6,861.06

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Solution

The fourth proportional to 6,894.66, 10,268.97 and 6,861.06 is: 10,218.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,894.66 : 10,268.97 = 6,861.06 : x
  2. Step 2: Convert to fraction form
    6,894.66/10,268.97 = 6,861.06/x
  3. Step 3: Cross multiply
    6,894.66x = 10,268.97 × 6,861.06
  4. Step 4: Simplify right side
    6,894.66x = 70,456,019.31
  5. Step 5: Solve for x
    x = 70,456,019.31/6,894.66
  6. Step 6: Final answer
    x = 10,218.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.