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Finding the Fourth Proportional to 9,958.41, 13,748.13 and 5,980.50

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Solution

The fourth proportional to 9,958.41, 13,748.13 and 5,980.50 is: 8,256.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,958.41 : 13,748.13 = 5,980.50 : x
  2. Step 2: Convert to fraction form
    9,958.41/13,748.13 = 5,980.50/x
  3. Step 3: Cross multiply
    9,958.41x = 13,748.13 × 5,980.50
  4. Step 4: Simplify right side
    9,958.41x = 82,220,691.47
  5. Step 5: Solve for x
    x = 82,220,691.47/9,958.41
  6. Step 6: Final answer
    x = 8,256.41

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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.