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Finding the Fourth Proportional to 9,221.64, 13,834.92 and 4,837.92

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Solution

The fourth proportional to 9,221.64, 13,834.92 and 4,837.92 is: 7,258.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,221.64 : 13,834.92 = 4,837.92 : x
  2. Step 2: Convert to fraction form
    9,221.64/13,834.92 = 4,837.92/x
  3. Step 3: Cross multiply
    9,221.64x = 13,834.92 × 4,837.92
  4. Step 4: Simplify right side
    9,221.64x = 66,932,236.17
  5. Step 5: Solve for x
    x = 66,932,236.17/9,221.64
  6. Step 6: Final answer
    x = 7,258.17

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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.