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Finding the Fourth Proportional to 7,188.71, 10,785.09 and 2,258.24

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Solution

The fourth proportional to 7,188.71, 10,785.09 and 2,258.24 is: 3,388.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,188.71 : 10,785.09 = 2,258.24 : x
  2. Step 2: Convert to fraction form
    7,188.71/10,785.09 = 2,258.24/x
  3. Step 3: Cross multiply
    7,188.71x = 10,785.09 × 2,258.24
  4. Step 4: Simplify right side
    7,188.71x = 24,355,321.64
  5. Step 5: Solve for x
    x = 24,355,321.64/7,188.71
  6. Step 6: Final answer
    x = 3,388.00

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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.