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Finding the Fourth Proportional to 15,965.31, 22,032.13 and 9,254.84

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Solution

The fourth proportional to 15,965.31, 22,032.13 and 9,254.84 is: 12,771.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,965.31 : 22,032.13 = 9,254.84 : x
  2. Step 2: Convert to fraction form
    15,965.31/22,032.13 = 9,254.84/x
  3. Step 3: Cross multiply
    15,965.31x = 22,032.13 × 9,254.84
  4. Step 4: Simplify right side
    15,965.31x = 203,903,846.00
  5. Step 5: Solve for x
    x = 203,903,846.00/15,965.31
  6. Step 6: Final answer
    x = 12,771.68

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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.