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Finding the Fourth Proportional to 7,089.36, 9,785.16 and 4,107

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Solution

The fourth proportional to 7,089.36, 9,785.16 and 4,107 is: 5,668.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,089.36 : 9,785.16 = 4,107 : x
  2. Step 2: Convert to fraction form
    7,089.36/9,785.16 = 4,107/x
  3. Step 3: Cross multiply
    7,089.36x = 9,785.16 × 4,107
  4. Step 4: Simplify right side
    7,089.36x = 40,187,652.12
  5. Step 5: Solve for x
    x = 40,187,652.12/7,089.36
  6. Step 6: Final answer
    x = 5,668.73

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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.