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Finding the Fourth Proportional to 6,557, 9,049.04 and 3,762.68

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Solution

The fourth proportional to 6,557, 9,049.04 and 3,762.68 is: 5,192.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,557 : 9,049.04 = 3,762.68 : x
  2. Step 2: Convert to fraction form
    6,557/9,049.04 = 3,762.68/x
  3. Step 3: Cross multiply
    6,557x = 9,049.04 × 3,762.68
  4. Step 4: Simplify right side
    6,557x = 34,048,641.83
  5. Step 5: Solve for x
    x = 34,048,641.83/6,557
  6. Step 6: Final answer
    x = 5,192.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.