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Finding the Fourth Proportional to 6,894.30, 10,263.47 and 6,853.29

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Solution

The fourth proportional to 6,894.30, 10,263.47 and 6,853.29 is: 10,202.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,894.30 : 10,263.47 = 6,853.29 : x
  2. Step 2: Convert to fraction form
    6,894.30/10,263.47 = 6,853.29/x
  3. Step 3: Cross multiply
    6,894.30x = 10,263.47 × 6,853.29
  4. Step 4: Simplify right side
    6,894.30x = 70,338,502.05
  5. Step 5: Solve for x
    x = 70,338,502.05/6,894.30
  6. Step 6: Final answer
    x = 10,202.42

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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.