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Finding the Fourth Proportional to 6,574, 9,855.48 and 2,681.20

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Solution

The fourth proportional to 6,574, 9,855.48 and 2,681.20 is: 4,019.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,574 : 9,855.48 = 2,681.20 : x
  2. Step 2: Convert to fraction form
    6,574/9,855.48 = 2,681.20/x
  3. Step 3: Cross multiply
    6,574x = 9,855.48 × 2,681.20
  4. Step 4: Simplify right side
    6,574x = 26,424,512.98
  5. Step 5: Solve for x
    x = 26,424,512.98/6,574
  6. Step 6: Final answer
    x = 4,019.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.