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Finding the Fourth Proportional to 6,574.80, 9,853.56 and 3,113.04

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Solution

The fourth proportional to 6,574.80, 9,853.56 and 3,113.04 is: 4,665.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,574.80 : 9,853.56 = 3,113.04 : x
  2. Step 2: Convert to fraction form
    6,574.80/9,853.56 = 3,113.04/x
  3. Step 3: Cross multiply
    6,574.80x = 9,853.56 × 3,113.04
  4. Step 4: Simplify right side
    6,574.80x = 30,674,526.42
  5. Step 5: Solve for x
    x = 30,674,526.42/6,574.80
  6. Step 6: Final answer
    x = 4,665.47

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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.