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Finding the Fourth Proportional to 8,359.90, 11,537.89 and 4,822.42

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Solution

The fourth proportional to 8,359.90, 11,537.89 and 4,822.42 is: 6,655.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,359.90 : 11,537.89 = 4,822.42 : x
  2. Step 2: Convert to fraction form
    8,359.90/11,537.89 = 4,822.42/x
  3. Step 3: Cross multiply
    8,359.90x = 11,537.89 × 4,822.42
  4. Step 4: Simplify right side
    8,359.90x = 55,640,551.49
  5. Step 5: Solve for x
    x = 55,640,551.49/8,359.90
  6. Step 6: Final answer
    x = 6,655.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.