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Finding the Fourth Proportional to 6,565.28, 9,845.60 and 2,866.68

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Solution

The fourth proportional to 6,565.28, 9,845.60 and 2,866.68 is: 4,299.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,565.28 : 9,845.60 = 2,866.68 : x
  2. Step 2: Convert to fraction form
    6,565.28/9,845.60 = 2,866.68/x
  3. Step 3: Cross multiply
    6,565.28x = 9,845.60 × 2,866.68
  4. Step 4: Simplify right side
    6,565.28x = 28,224,184.61
  5. Step 5: Solve for x
    x = 28,224,184.61/6,565.28
  6. Step 6: Final answer
    x = 4,299.01

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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.