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Finding the Fourth Proportional to 11,402.64, 15,736.41 and 6,368.49

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Solution

The fourth proportional to 11,402.64, 15,736.41 and 6,368.49 is: 8,788.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,402.64 : 15,736.41 = 6,368.49 : x
  2. Step 2: Convert to fraction form
    11,402.64/15,736.41 = 6,368.49/x
  3. Step 3: Cross multiply
    11,402.64x = 15,736.41 × 6,368.49
  4. Step 4: Simplify right side
    11,402.64x = 100,217,169.72
  5. Step 5: Solve for x
    x = 100,217,169.72/11,402.64
  6. Step 6: Final answer
    x = 8,788.94

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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.