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Finding the Fourth Proportional to 9,818.74, 13,548.80 and 5,839.32

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Solution

The fourth proportional to 9,818.74, 13,548.80 and 5,839.32 is: 8,057.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,818.74 : 13,548.80 = 5,839.32 : x
  2. Step 2: Convert to fraction form
    9,818.74/13,548.80 = 5,839.32/x
  3. Step 3: Cross multiply
    9,818.74x = 13,548.80 × 5,839.32
  4. Step 4: Simplify right side
    9,818.74x = 79,115,778.82
  5. Step 5: Solve for x
    x = 79,115,778.82/9,818.74
  6. Step 6: Final answer
    x = 8,057.63

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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.