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Finding the Fourth Proportional to 6,569.37, 9,853.13 and 1,889.78

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Solution

The fourth proportional to 6,569.37, 9,853.13 and 1,889.78 is: 2,834.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,569.37 : 9,853.13 = 1,889.78 : x
  2. Step 2: Convert to fraction form
    6,569.37/9,853.13 = 1,889.78/x
  3. Step 3: Cross multiply
    6,569.37x = 9,853.13 × 1,889.78
  4. Step 4: Simplify right side
    6,569.37x = 18,620,189.30
  5. Step 5: Solve for x
    x = 18,620,189.30/6,569.37
  6. Step 6: Final answer
    x = 2,834.39

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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.