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Finding the Fourth Proportional to 6,523.13, 9,784.71 and 1,906.13

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Solution

The fourth proportional to 6,523.13, 9,784.71 and 1,906.13 is: 2,859.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,523.13 : 9,784.71 = 1,906.13 : x
  2. Step 2: Convert to fraction form
    6,523.13/9,784.71 = 1,906.13/x
  3. Step 3: Cross multiply
    6,523.13x = 9,784.71 × 1,906.13
  4. Step 4: Simplify right side
    6,523.13x = 18,650,929.27
  5. Step 5: Solve for x
    x = 18,650,929.27/6,523.13
  6. Step 6: Final answer
    x = 2,859.20

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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.