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Finding the Fourth Proportional to 7,646.81, 11,480.38 and 3,951.32

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Solution

The fourth proportional to 7,646.81, 11,480.38 and 3,951.32 is: 5,932.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,646.81 : 11,480.38 = 3,951.32 : x
  2. Step 2: Convert to fraction form
    7,646.81/11,480.38 = 3,951.32/x
  3. Step 3: Cross multiply
    7,646.81x = 11,480.38 × 3,951.32
  4. Step 4: Simplify right side
    7,646.81x = 45,362,587.82
  5. Step 5: Solve for x
    x = 45,362,587.82/7,646.81
  6. Step 6: Final answer
    x = 5,932.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.