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Finding the Fourth Proportional to 11,007.84, 15,203.28 and 7,464.92

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Solution

The fourth proportional to 11,007.84, 15,203.28 and 7,464.92 is: 10,310.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,007.84 : 15,203.28 = 7,464.92 : x
  2. Step 2: Convert to fraction form
    11,007.84/15,203.28 = 7,464.92/x
  3. Step 3: Cross multiply
    11,007.84x = 15,203.28 × 7,464.92
  4. Step 4: Simplify right side
    11,007.84x = 113,491,268.94
  5. Step 5: Solve for x
    x = 113,491,268.94/11,007.84
  6. Step 6: Final answer
    x = 10,310.04

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Half scale
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Similar ratio
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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.