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Finding the Fourth Proportional to 6,502.56, 9,750.87 and 2,803.02

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Solution

The fourth proportional to 6,502.56, 9,750.87 and 2,803.02 is: 4,203.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502.56 : 9,750.87 = 2,803.02 : x
  2. Step 2: Convert to fraction form
    6,502.56/9,750.87 = 2,803.02/x
  3. Step 3: Cross multiply
    6,502.56x = 9,750.87 × 2,803.02
  4. Step 4: Simplify right side
    6,502.56x = 27,331,883.63
  5. Step 5: Solve for x
    x = 27,331,883.63/6,502.56
  6. Step 6: Final answer
    x = 4,203.25

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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.