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Finding the Fourth Proportional to 8,681.76, 13,022.64 and 5,765.76

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Solution

The fourth proportional to 8,681.76, 13,022.64 and 5,765.76 is: 8,648.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,681.76 : 13,022.64 = 5,765.76 : x
  2. Step 2: Convert to fraction form
    8,681.76/13,022.64 = 5,765.76/x
  3. Step 3: Cross multiply
    8,681.76x = 13,022.64 × 5,765.76
  4. Step 4: Simplify right side
    8,681.76x = 75,085,416.81
  5. Step 5: Solve for x
    x = 75,085,416.81/8,681.76
  6. Step 6: Final answer
    x = 8,648.64

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1.5x scale

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.