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Finding the Fourth Proportional to 6,301.75, 8,696.42 and 3,649.30

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Solution

The fourth proportional to 6,301.75, 8,696.42 and 3,649.30 is: 5,036.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,301.75 : 8,696.42 = 3,649.30 : x
  2. Step 2: Convert to fraction form
    6,301.75/8,696.42 = 3,649.30/x
  3. Step 3: Cross multiply
    6,301.75x = 8,696.42 × 3,649.30
  4. Step 4: Simplify right side
    6,301.75x = 31,735,845.51
  5. Step 5: Solve for x
    x = 31,735,845.51/6,301.75
  6. Step 6: Final answer
    x = 5,036.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.