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Finding the Fourth Proportional to 6,853.29, 10,284.03 and 6,295.60

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Solution

The fourth proportional to 6,853.29, 10,284.03 and 6,295.60 is: 9,447.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,853.29 : 10,284.03 = 6,295.60 : x
  2. Step 2: Convert to fraction form
    6,853.29/10,284.03 = 6,295.60/x
  3. Step 3: Cross multiply
    6,853.29x = 10,284.03 × 6,295.60
  4. Step 4: Simplify right side
    6,853.29x = 64,744,176.78
  5. Step 5: Solve for x
    x = 64,744,176.78/6,853.29
  6. Step 6: Final answer
    x = 9,447.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.