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Finding the Fourth Proportional to 11,348.64, 15,662.16 and 6,633.63

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Solution

The fourth proportional to 11,348.64, 15,662.16 and 6,633.63 is: 9,155.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,348.64 : 15,662.16 = 6,633.63 : x
  2. Step 2: Convert to fraction form
    11,348.64/15,662.16 = 6,633.63/x
  3. Step 3: Cross multiply
    11,348.64x = 15,662.16 × 6,633.63
  4. Step 4: Simplify right side
    11,348.64x = 103,896,974.44
  5. Step 5: Solve for x
    x = 103,896,974.44/11,348.64
  6. Step 6: Final answer
    x = 9,155.02

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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.