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Finding the Fourth Proportional to 9,473.66, 13,077.24 and 7,451.84

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Solution

The fourth proportional to 9,473.66, 13,077.24 and 7,451.84 is: 10,286.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,473.66 : 13,077.24 = 7,451.84 : x
  2. Step 2: Convert to fraction form
    9,473.66/13,077.24 = 7,451.84/x
  3. Step 3: Cross multiply
    9,473.66x = 13,077.24 × 7,451.84
  4. Step 4: Simplify right side
    9,473.66x = 97,449,500.12
  5. Step 5: Solve for x
    x = 97,449,500.12/9,473.66
  6. Step 6: Final answer
    x = 10,286.36

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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.