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Finding the Fourth Proportional to 6,838.60, 10,258.22 and 3,549.60

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Solution

The fourth proportional to 6,838.60, 10,258.22 and 3,549.60 is: 5,324.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,838.60 : 10,258.22 = 3,549.60 : x
  2. Step 2: Convert to fraction form
    6,838.60/10,258.22 = 3,549.60/x
  3. Step 3: Cross multiply
    6,838.60x = 10,258.22 × 3,549.60
  4. Step 4: Simplify right side
    6,838.60x = 36,412,577.71
  5. Step 5: Solve for x
    x = 36,412,577.71/6,838.60
  6. Step 6: Final answer
    x = 5,324.57

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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.