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Finding the Fourth Proportional to 22,945.12, 34,422.64 and 7,362.64

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Solution

The fourth proportional to 22,945.12, 34,422.64 and 7,362.64 is: 11,045.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,945.12 : 34,422.64 = 7,362.64 : x
  2. Step 2: Convert to fraction form
    22,945.12/34,422.64 = 7,362.64/x
  3. Step 3: Cross multiply
    22,945.12x = 34,422.64 × 7,362.64
  4. Step 4: Simplify right side
    22,945.12x = 253,441,506.17
  5. Step 5: Solve for x
    x = 253,441,506.17/22,945.12
  6. Step 6: Final answer
    x = 11,045.55

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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.