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Finding the Fourth Proportional to 15,957.88, 22,021.50 and 8,884.16

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Solution

The fourth proportional to 15,957.88, 22,021.50 and 8,884.16 is: 12,259.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,957.88 : 22,021.50 = 8,884.16 : x
  2. Step 2: Convert to fraction form
    15,957.88/22,021.50 = 8,884.16/x
  3. Step 3: Cross multiply
    15,957.88x = 22,021.50 × 8,884.16
  4. Step 4: Simplify right side
    15,957.88x = 195,642,529.44
  5. Step 5: Solve for x
    x = 195,642,529.44/15,957.88
  6. Step 6: Final answer
    x = 12,259.93

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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.