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Finding the Fourth Proportional to 18,856.64, 28,267.68 and 6,536

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Solution

The fourth proportional to 18,856.64, 28,267.68 and 6,536 is: 9,798.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,856.64 : 28,267.68 = 6,536 : x
  2. Step 2: Convert to fraction form
    18,856.64/28,267.68 = 6,536/x
  3. Step 3: Cross multiply
    18,856.64x = 28,267.68 × 6,536
  4. Step 4: Simplify right side
    18,856.64x = 184,757,556.48
  5. Step 5: Solve for x
    x = 184,757,556.48/18,856.64
  6. Step 6: Final answer
    x = 9,798.01

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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.