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Finding the Fourth Proportional to 4,321.53, 6,484.92 and 1,724.25

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Solution

The fourth proportional to 4,321.53, 6,484.92 and 1,724.25 is: 2,587.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,321.53 : 6,484.92 = 1,724.25 : x
  2. Step 2: Convert to fraction form
    4,321.53/6,484.92 = 1,724.25/x
  3. Step 3: Cross multiply
    4,321.53x = 6,484.92 × 1,724.25
  4. Step 4: Simplify right side
    4,321.53x = 11,181,623.31
  5. Step 5: Solve for x
    x = 11,181,623.31/4,321.53
  6. Step 6: Final answer
    x = 2,587.42

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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.