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Finding the Fourth Proportional to 6,506, 9,758.52 and 2,123.36

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Solution

The fourth proportional to 6,506, 9,758.52 and 2,123.36 is: 3,184.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,506 : 9,758.52 = 2,123.36 : x
  2. Step 2: Convert to fraction form
    6,506/9,758.52 = 2,123.36/x
  3. Step 3: Cross multiply
    6,506x = 9,758.52 × 2,123.36
  4. Step 4: Simplify right side
    6,506x = 20,720,851.03
  5. Step 5: Solve for x
    x = 20,720,851.03/6,506
  6. Step 6: Final answer
    x = 3,184.88

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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.