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Finding the Fourth Proportional to 6,857.60, 10,226.19 and 6,795.23

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Solution

The fourth proportional to 6,857.60, 10,226.19 and 6,795.23 is: 10,133.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,857.60 : 10,226.19 = 6,795.23 : x
  2. Step 2: Convert to fraction form
    6,857.60/10,226.19 = 6,795.23/x
  3. Step 3: Cross multiply
    6,857.60x = 10,226.19 × 6,795.23
  4. Step 4: Simplify right side
    6,857.60x = 69,489,325.90
  5. Step 5: Solve for x
    x = 69,489,325.90/6,857.60
  6. Step 6: Final answer
    x = 10,133.18

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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.