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Finding the Fourth Proportional to 15,777.46, 21,772.54 and 8,703.88

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Solution

The fourth proportional to 15,777.46, 21,772.54 and 8,703.88 is: 12,011.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,777.46 : 21,772.54 = 8,703.88 : x
  2. Step 2: Convert to fraction form
    15,777.46/21,772.54 = 8,703.88/x
  3. Step 3: Cross multiply
    15,777.46x = 21,772.54 × 8,703.88
  4. Step 4: Simplify right side
    15,777.46x = 189,505,423.07
  5. Step 5: Solve for x
    x = 189,505,423.07/15,777.46
  6. Step 6: Final answer
    x = 12,011.15

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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.