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Finding the Fourth Proportional to 7,700.07, 10,633.11 and 5,808.42

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Solution

The fourth proportional to 7,700.07, 10,633.11 and 5,808.42 is: 8,020.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,700.07 : 10,633.11 = 5,808.42 : x
  2. Step 2: Convert to fraction form
    7,700.07/10,633.11 = 5,808.42/x
  3. Step 3: Cross multiply
    7,700.07x = 10,633.11 × 5,808.42
  4. Step 4: Simplify right side
    7,700.07x = 61,761,568.79
  5. Step 5: Solve for x
    x = 61,761,568.79/7,700.07
  6. Step 6: Final answer
    x = 8,020.91

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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.