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Finding the Fourth Proportional to 15,811.90, 21,825.01 and 9,102.26

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Solution

The fourth proportional to 15,811.90, 21,825.01 and 9,102.26 is: 12,563.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,811.90 : 21,825.01 = 9,102.26 : x
  2. Step 2: Convert to fraction form
    15,811.90/21,825.01 = 9,102.26/x
  3. Step 3: Cross multiply
    15,811.90x = 21,825.01 × 9,102.26
  4. Step 4: Simplify right side
    15,811.90x = 198,656,915.52
  5. Step 5: Solve for x
    x = 198,656,915.52/15,811.90
  6. Step 6: Final answer
    x = 12,563.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.