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Finding the Fourth Proportional to 6,685.63, 10,028.14 and 2,302.97

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Solution

The fourth proportional to 6,685.63, 10,028.14 and 2,302.97 is: 3,454.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,685.63 : 10,028.14 = 2,302.97 : x
  2. Step 2: Convert to fraction form
    6,685.63/10,028.14 = 2,302.97/x
  3. Step 3: Cross multiply
    6,685.63x = 10,028.14 × 2,302.97
  4. Step 4: Simplify right side
    6,685.63x = 23,094,505.58
  5. Step 5: Solve for x
    x = 23,094,505.58/6,685.63
  6. Step 6: Final answer
    x = 3,454.35

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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.