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Finding the Fourth Proportional to 11,189.28, 15,444 and 6,476.64

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Solution

The fourth proportional to 11,189.28, 15,444 and 6,476.64 is: 8,939.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,189.28 : 15,444 = 6,476.64 : x
  2. Step 2: Convert to fraction form
    11,189.28/15,444 = 6,476.64/x
  3. Step 3: Cross multiply
    11,189.28x = 15,444 × 6,476.64
  4. Step 4: Simplify right side
    11,189.28x = 100,025,228.16
  5. Step 5: Solve for x
    x = 100,025,228.16/11,189.28
  6. Step 6: Final answer
    x = 8,939.38

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Double scale
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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.