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Finding the Fourth Proportional to 6,588.40, 9,866.94 and 3,809.32

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Solution

The fourth proportional to 6,588.40, 9,866.94 and 3,809.32 is: 5,704.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,588.40 : 9,866.94 = 3,809.32 : x
  2. Step 2: Convert to fraction form
    6,588.40/9,866.94 = 3,809.32/x
  3. Step 3: Cross multiply
    6,588.40x = 9,866.94 × 3,809.32
  4. Step 4: Simplify right side
    6,588.40x = 37,586,331.88
  5. Step 5: Solve for x
    x = 37,586,331.88/6,588.40
  6. Step 6: Final answer
    x = 5,704.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.