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Finding the Fourth Proportional to 6,278.04, 9,417.70 and 1,661.40

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Solution

The fourth proportional to 6,278.04, 9,417.70 and 1,661.40 is: 2,492.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,278.04 : 9,417.70 = 1,661.40 : x
  2. Step 2: Convert to fraction form
    6,278.04/9,417.70 = 1,661.40/x
  3. Step 3: Cross multiply
    6,278.04x = 9,417.70 × 1,661.40
  4. Step 4: Simplify right side
    6,278.04x = 15,646,566.78
  5. Step 5: Solve for x
    x = 15,646,566.78/6,278.04
  6. Step 6: Final answer
    x = 2,492.27

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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.