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Finding the Fourth Proportional to 6,658.21, 9,976.30 and 5,971.42

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Solution

The fourth proportional to 6,658.21, 9,976.30 and 5,971.42 is: 8,947.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,658.21 : 9,976.30 = 5,971.42 : x
  2. Step 2: Convert to fraction form
    6,658.21/9,976.30 = 5,971.42/x
  3. Step 3: Cross multiply
    6,658.21x = 9,976.30 × 5,971.42
  4. Step 4: Simplify right side
    6,658.21x = 59,572,674.89
  5. Step 5: Solve for x
    x = 59,572,674.89/6,658.21
  6. Step 6: Final answer
    x = 8,947.25

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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.