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Finding the Fourth Proportional to 6,588.88, 9,875.72 and 3,661.34

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Solution

The fourth proportional to 6,588.88, 9,875.72 and 3,661.34 is: 5,487.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,588.88 : 9,875.72 = 3,661.34 : x
  2. Step 2: Convert to fraction form
    6,588.88/9,875.72 = 3,661.34/x
  3. Step 3: Cross multiply
    6,588.88x = 9,875.72 × 3,661.34
  4. Step 4: Simplify right side
    6,588.88x = 36,158,328.44
  5. Step 5: Solve for x
    x = 36,158,328.44/6,588.88
  6. Step 6: Final answer
    x = 5,487.78

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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.