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Finding the Fourth Proportional to 6,883.71, 9,496.42 and 4,230.15

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Solution

The fourth proportional to 6,883.71, 9,496.42 and 4,230.15 is: 5,835.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,883.71 : 9,496.42 = 4,230.15 : x
  2. Step 2: Convert to fraction form
    6,883.71/9,496.42 = 4,230.15/x
  3. Step 3: Cross multiply
    6,883.71x = 9,496.42 × 4,230.15
  4. Step 4: Simplify right side
    6,883.71x = 40,171,281.06
  5. Step 5: Solve for x
    x = 40,171,281.06/6,883.71
  6. Step 6: Final answer
    x = 5,835.70

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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.