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Finding the Fourth Proportional to 6,415.04, 9,622.02 and 1,798.04

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Solution

The fourth proportional to 6,415.04, 9,622.02 and 1,798.04 is: 2,696.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,415.04 : 9,622.02 = 1,798.04 : x
  2. Step 2: Convert to fraction form
    6,415.04/9,622.02 = 1,798.04/x
  3. Step 3: Cross multiply
    6,415.04x = 9,622.02 × 1,798.04
  4. Step 4: Simplify right side
    6,415.04x = 17,300,776.84
  5. Step 5: Solve for x
    x = 17,300,776.84/6,415.04
  6. Step 6: Final answer
    x = 2,696.91

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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.