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Finding the Fourth Proportional to 7,007.82, 9,661.50 and 5,808.32

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Solution

The fourth proportional to 7,007.82, 9,661.50 and 5,808.32 is: 8,007.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,007.82 : 9,661.50 = 5,808.32 : x
  2. Step 2: Convert to fraction form
    7,007.82/9,661.50 = 5,808.32/x
  3. Step 3: Cross multiply
    7,007.82x = 9,661.50 × 5,808.32
  4. Step 4: Simplify right side
    7,007.82x = 56,117,083.68
  5. Step 5: Solve for x
    x = 56,117,083.68/7,007.82
  6. Step 6: Final answer
    x = 8,007.78

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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.