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Finding the Fourth Proportional to 6,496, 9,750.56 and 3,576.80

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Solution

The fourth proportional to 6,496, 9,750.56 and 3,576.80 is: 5,368.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,496 : 9,750.56 = 3,576.80 : x
  2. Step 2: Convert to fraction form
    6,496/9,750.56 = 3,576.80/x
  3. Step 3: Cross multiply
    6,496x = 9,750.56 × 3,576.80
  4. Step 4: Simplify right side
    6,496x = 34,875,803.01
  5. Step 5: Solve for x
    x = 34,875,803.01/6,496
  6. Step 6: Final answer
    x = 5,368.81

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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.