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Finding the Fourth Proportional to 6,414.84, 8,848.17 and 4,825.62

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Solution

The fourth proportional to 6,414.84, 8,848.17 and 4,825.62 is: 6,656.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,414.84 : 8,848.17 = 4,825.62 : x
  2. Step 2: Convert to fraction form
    6,414.84/8,848.17 = 4,825.62/x
  3. Step 3: Cross multiply
    6,414.84x = 8,848.17 × 4,825.62
  4. Step 4: Simplify right side
    6,414.84x = 42,697,906.12
  5. Step 5: Solve for x
    x = 42,697,906.12/6,414.84
  6. Step 6: Final answer
    x = 6,656.11

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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.