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Finding the Fourth Proportional to 6,324.40, 8,724.04 and 3,671.47

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Solution

The fourth proportional to 6,324.40, 8,724.04 and 3,671.47 is: 5,064.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,324.40 : 8,724.04 = 3,671.47 : x
  2. Step 2: Convert to fraction form
    6,324.40/8,724.04 = 3,671.47/x
  3. Step 3: Cross multiply
    6,324.40x = 8,724.04 × 3,671.47
  4. Step 4: Simplify right side
    6,324.40x = 32,030,051.14
  5. Step 5: Solve for x
    x = 32,030,051.14/6,324.40
  6. Step 6: Final answer
    x = 5,064.52

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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.