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Finding the Fourth Proportional to 6,182.14, 9,271.53 and 1,798.46

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Solution

The fourth proportional to 6,182.14, 9,271.53 and 1,798.46 is: 2,697.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,182.14 : 9,271.53 = 1,798.46 : x
  2. Step 2: Convert to fraction form
    6,182.14/9,271.53 = 1,798.46/x
  3. Step 3: Cross multiply
    6,182.14x = 9,271.53 × 1,798.46
  4. Step 4: Simplify right side
    6,182.14x = 16,674,475.84
  5. Step 5: Solve for x
    x = 16,674,475.84/6,182.14
  6. Step 6: Final answer
    x = 2,697.20

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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.