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Finding the Fourth Proportional to 6,588.48, 9,866.88 and 3,984.96

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Solution

The fourth proportional to 6,588.48, 9,866.88 and 3,984.96 is: 5,967.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,588.48 : 9,866.88 = 3,984.96 : x
  2. Step 2: Convert to fraction form
    6,588.48/9,866.88 = 3,984.96/x
  3. Step 3: Cross multiply
    6,588.48x = 9,866.88 × 3,984.96
  4. Step 4: Simplify right side
    6,588.48x = 39,319,122.12
  5. Step 5: Solve for x
    x = 39,319,122.12/6,588.48
  6. Step 6: Final answer
    x = 5,967.86

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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.