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Finding the Fourth Proportional to 9,284.06, 13,926.10 and 2,264.06

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Solution

The fourth proportional to 9,284.06, 13,926.10 and 2,264.06 is: 3,396.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,284.06 : 13,926.10 = 2,264.06 : x
  2. Step 2: Convert to fraction form
    9,284.06/13,926.10 = 2,264.06/x
  3. Step 3: Cross multiply
    9,284.06x = 13,926.10 × 2,264.06
  4. Step 4: Simplify right side
    9,284.06x = 31,529,525.97
  5. Step 5: Solve for x
    x = 31,529,525.97/9,284.06
  6. Step 6: Final answer
    x = 3,396.09

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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.