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Finding the Fourth Proportional to 6,483.05, 9,724.78 and 2,534.15

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Solution

The fourth proportional to 6,483.05, 9,724.78 and 2,534.15 is: 3,801.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,483.05 : 9,724.78 = 2,534.15 : x
  2. Step 2: Convert to fraction form
    6,483.05/9,724.78 = 2,534.15/x
  3. Step 3: Cross multiply
    6,483.05x = 9,724.78 × 2,534.15
  4. Step 4: Simplify right side
    6,483.05x = 24,644,038.57
  5. Step 5: Solve for x
    x = 24,644,038.57/6,483.05
  6. Step 6: Final answer
    x = 3,801.30

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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.