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Finding the Fourth Proportional to 22,855.79, 34,284.44 and 7,862.76

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Solution

The fourth proportional to 22,855.79, 34,284.44 and 7,862.76 is: 11,794.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,855.79 : 34,284.44 = 7,862.76 : x
  2. Step 2: Convert to fraction form
    22,855.79/34,284.44 = 7,862.76/x
  3. Step 3: Cross multiply
    22,855.79x = 34,284.44 × 7,862.76
  4. Step 4: Simplify right side
    22,855.79x = 269,570,284.14
  5. Step 5: Solve for x
    x = 269,570,284.14/22,855.79
  6. Step 6: Final answer
    x = 11,794.40

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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.