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Finding the Fourth Proportional to 6,521.90, 9,784.23 and 2,138.99

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Solution

The fourth proportional to 6,521.90, 9,784.23 and 2,138.99 is: 3,208.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,521.90 : 9,784.23 = 2,138.99 : x
  2. Step 2: Convert to fraction form
    6,521.90/9,784.23 = 2,138.99/x
  3. Step 3: Cross multiply
    6,521.90x = 9,784.23 × 2,138.99
  4. Step 4: Simplify right side
    6,521.90x = 20,928,370.13
  5. Step 5: Solve for x
    x = 20,928,370.13/6,521.90
  6. Step 6: Final answer
    x = 3,208.94

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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.