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Finding the Fourth Proportional to 6,848.62, 10,278.69 and 6,416.62

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Solution

The fourth proportional to 6,848.62, 10,278.69 and 6,416.62 is: 9,630.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,848.62 : 10,278.69 = 6,416.62 : x
  2. Step 2: Convert to fraction form
    6,848.62/10,278.69 = 6,416.62/x
  3. Step 3: Cross multiply
    6,848.62x = 10,278.69 × 6,416.62
  4. Step 4: Simplify right side
    6,848.62x = 65,954,447.83
  5. Step 5: Solve for x
    x = 65,954,447.83/6,848.62
  6. Step 6: Final answer
    x = 9,630.33

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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.