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Finding the Fourth Proportional to 9,809.51, 13,537.76 and 5,982.55

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Solution

The fourth proportional to 9,809.51, 13,537.76 and 5,982.55 is: 8,256.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,809.51 : 13,537.76 = 5,982.55 : x
  2. Step 2: Convert to fraction form
    9,809.51/13,537.76 = 5,982.55/x
  3. Step 3: Cross multiply
    9,809.51x = 13,537.76 × 5,982.55
  4. Step 4: Simplify right side
    9,809.51x = 80,990,262.33
  5. Step 5: Solve for x
    x = 80,990,262.33/9,809.51
  6. Step 6: Final answer
    x = 8,256.30

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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.