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Finding the Fourth Proportional to 6,180.96, 9,271.35 and 1,501

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Solution

The fourth proportional to 6,180.96, 9,271.35 and 1,501 is: 2,251.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,180.96 : 9,271.35 = 1,501 : x
  2. Step 2: Convert to fraction form
    6,180.96/9,271.35 = 1,501/x
  3. Step 3: Cross multiply
    6,180.96x = 9,271.35 × 1,501
  4. Step 4: Simplify right side
    6,180.96x = 13,916,296.35
  5. Step 5: Solve for x
    x = 13,916,296.35/6,180.96
  6. Step 6: Final answer
    x = 2,251.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.