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Finding the Fourth Proportional to 6,302.53, 8,696.51 and 3,649.43

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Solution

The fourth proportional to 6,302.53, 8,696.51 and 3,649.43 is: 5,035.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,302.53 : 8,696.51 = 3,649.43 : x
  2. Step 2: Convert to fraction form
    6,302.53/8,696.51 = 3,649.43/x
  3. Step 3: Cross multiply
    6,302.53x = 8,696.51 × 3,649.43
  4. Step 4: Simplify right side
    6,302.53x = 31,737,317.74
  5. Step 5: Solve for x
    x = 31,737,317.74/6,302.53
  6. Step 6: Final answer
    x = 5,035.64

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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.