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Finding the Fourth Proportional to 9,521.88, 14,282.88 and 2,596.44

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Solution

The fourth proportional to 9,521.88, 14,282.88 and 2,596.44 is: 3,894.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,521.88 : 14,282.88 = 2,596.44 : x
  2. Step 2: Convert to fraction form
    9,521.88/14,282.88 = 2,596.44/x
  3. Step 3: Cross multiply
    9,521.88x = 14,282.88 × 2,596.44
  4. Step 4: Simplify right side
    9,521.88x = 37,084,640.95
  5. Step 5: Solve for x
    x = 37,084,640.95/9,521.88
  6. Step 6: Final answer
    x = 3,894.68

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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.