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Finding the Fourth Proportional to 6,307.74, 9,463.77 and 3,388.23

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Solution

The fourth proportional to 6,307.74, 9,463.77 and 3,388.23 is: 5,083.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,307.74 : 9,463.77 = 3,388.23 : x
  2. Step 2: Convert to fraction form
    6,307.74/9,463.77 = 3,388.23/x
  3. Step 3: Cross multiply
    6,307.74x = 9,463.77 × 3,388.23
  4. Step 4: Simplify right side
    6,307.74x = 32,065,429.43
  5. Step 5: Solve for x
    x = 32,065,429.43/6,307.74
  6. Step 6: Final answer
    x = 5,083.51

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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.