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Finding the Fourth Proportional to 6,589.03, 9,883.20 and 1,658.67

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Solution

The fourth proportional to 6,589.03, 9,883.20 and 1,658.67 is: 2,487.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,589.03 : 9,883.20 = 1,658.67 : x
  2. Step 2: Convert to fraction form
    6,589.03/9,883.20 = 1,658.67/x
  3. Step 3: Cross multiply
    6,589.03x = 9,883.20 × 1,658.67
  4. Step 4: Simplify right side
    6,589.03x = 16,392,967.34
  5. Step 5: Solve for x
    x = 16,392,967.34/6,589.03
  6. Step 6: Final answer
    x = 2,487.92

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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.