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Finding the Fourth Proportional to 6,655.76, 9,983.28 and 2,038.76

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Solution

The fourth proportional to 6,655.76, 9,983.28 and 2,038.76 is: 3,058.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,655.76 : 9,983.28 = 2,038.76 : x
  2. Step 2: Convert to fraction form
    6,655.76/9,983.28 = 2,038.76/x
  3. Step 3: Cross multiply
    6,655.76x = 9,983.28 × 2,038.76
  4. Step 4: Simplify right side
    6,655.76x = 20,353,511.93
  5. Step 5: Solve for x
    x = 20,353,511.93/6,655.76
  6. Step 6: Final answer
    x = 3,058.03

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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.