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Finding the Fourth Proportional to 6,506.82, 9,762.04 and 2,124.54

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Solution

The fourth proportional to 6,506.82, 9,762.04 and 2,124.54 is: 3,187.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,506.82 : 9,762.04 = 2,124.54 : x
  2. Step 2: Convert to fraction form
    6,506.82/9,762.04 = 2,124.54/x
  3. Step 3: Cross multiply
    6,506.82x = 9,762.04 × 2,124.54
  4. Step 4: Simplify right side
    6,506.82x = 20,739,844.46
  5. Step 5: Solve for x
    x = 20,739,844.46/6,506.82
  6. Step 6: Final answer
    x = 3,187.40

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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.