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Finding the Fourth Proportional to 6,883.50, 10,252.39 and 6,849.93

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Solution

The fourth proportional to 6,883.50, 10,252.39 and 6,849.93 is: 10,202.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,883.50 : 10,252.39 = 6,849.93 : x
  2. Step 2: Convert to fraction form
    6,883.50/10,252.39 = 6,849.93/x
  3. Step 3: Cross multiply
    6,883.50x = 10,252.39 × 6,849.93
  4. Step 4: Simplify right side
    6,883.50x = 70,228,145.21
  5. Step 5: Solve for x
    x = 70,228,145.21/6,883.50
  6. Step 6: Final answer
    x = 10,202.40

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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.