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Finding the Fourth Proportional to 22,865.22, 34,304.31 and 7,284.06

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Solution

The fourth proportional to 22,865.22, 34,304.31 and 7,284.06 is: 10,928.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,865.22 : 34,304.31 = 7,284.06 : x
  2. Step 2: Convert to fraction form
    22,865.22/34,304.31 = 7,284.06/x
  3. Step 3: Cross multiply
    22,865.22x = 34,304.31 × 7,284.06
  4. Step 4: Simplify right side
    22,865.22x = 249,874,652.30
  5. Step 5: Solve for x
    x = 249,874,652.30/22,865.22
  6. Step 6: Final answer
    x = 10,928.15

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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.