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Finding the Fourth Proportional to 7,076.42, 9,760.51 and 6,006.81

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Solution

The fourth proportional to 7,076.42, 9,760.51 and 6,006.81 is: 8,285.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,076.42 : 9,760.51 = 6,006.81 : x
  2. Step 2: Convert to fraction form
    7,076.42/9,760.51 = 6,006.81/x
  3. Step 3: Cross multiply
    7,076.42x = 9,760.51 × 6,006.81
  4. Step 4: Simplify right side
    7,076.42x = 58,629,526.73
  5. Step 5: Solve for x
    x = 58,629,526.73/7,076.42
  6. Step 6: Final answer
    x = 8,285.20

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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.