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Finding the Fourth Proportional to 6,483.15, 9,724.88 and 2,534.23

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Solution

The fourth proportional to 6,483.15, 9,724.88 and 2,534.23 is: 3,801.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,483.15 : 9,724.88 = 2,534.23 : x
  2. Step 2: Convert to fraction form
    6,483.15/9,724.88 = 2,534.23/x
  3. Step 3: Cross multiply
    6,483.15x = 9,724.88 × 2,534.23
  4. Step 4: Simplify right side
    6,483.15x = 24,645,082.64
  5. Step 5: Solve for x
    x = 24,645,082.64/6,483.15
  6. Step 6: Final answer
    x = 3,801.41

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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.