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Finding the Fourth Proportional to 9,765.66, 13,476.22 and 5,731.94

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Solution

The fourth proportional to 9,765.66, 13,476.22 and 5,731.94 is: 7,909.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,765.66 : 13,476.22 = 5,731.94 : x
  2. Step 2: Convert to fraction form
    9,765.66/13,476.22 = 5,731.94/x
  3. Step 3: Cross multiply
    9,765.66x = 13,476.22 × 5,731.94
  4. Step 4: Simplify right side
    9,765.66x = 77,244,884.47
  5. Step 5: Solve for x
    x = 77,244,884.47/9,765.66
  6. Step 6: Final answer
    x = 7,909.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.