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Finding the Fourth Proportional to 8,777.98, 12,049.13 and 7,760.98

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Solution

The fourth proportional to 8,777.98, 12,049.13 and 7,760.98 is: 10,653.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,777.98 : 12,049.13 = 7,760.98 : x
  2. Step 2: Convert to fraction form
    8,777.98/12,049.13 = 7,760.98/x
  3. Step 3: Cross multiply
    8,777.98x = 12,049.13 × 7,760.98
  4. Step 4: Simplify right side
    8,777.98x = 93,513,056.95
  5. Step 5: Solve for x
    x = 93,513,056.95/8,777.98
  6. Step 6: Final answer
    x = 10,653.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.