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Finding the Fourth Proportional to 8,464, 11,680.32 and 4,738.08

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Solution

The fourth proportional to 8,464, 11,680.32 and 4,738.08 is: 6,538.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,464 : 11,680.32 = 4,738.08 : x
  2. Step 2: Convert to fraction form
    8,464/11,680.32 = 4,738.08/x
  3. Step 3: Cross multiply
    8,464x = 11,680.32 × 4,738.08
  4. Step 4: Simplify right side
    8,464x = 55,342,290.59
  5. Step 5: Solve for x
    x = 55,342,290.59/8,464
  6. Step 6: Final answer
    x = 6,538.55

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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.