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Finding the Fourth Proportional to 6,415.14, 9,622.68 and 1,798.14

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Solution

The fourth proportional to 6,415.14, 9,622.68 and 1,798.14 is: 2,697.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,415.14 : 9,622.68 = 1,798.14 : x
  2. Step 2: Convert to fraction form
    6,415.14/9,622.68 = 1,798.14/x
  3. Step 3: Cross multiply
    6,415.14x = 9,622.68 × 1,798.14
  4. Step 4: Simplify right side
    6,415.14x = 17,302,925.82
  5. Step 5: Solve for x
    x = 17,302,925.82/6,415.14
  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.