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Finding the Fourth Proportional to 8,466, 11,680.38 and 5,484.12

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Solution

The fourth proportional to 8,466, 11,680.38 and 5,484.12 is: 7,566.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,466 : 11,680.38 = 5,484.12 : x
  2. Step 2: Convert to fraction form
    8,466/11,680.38 = 5,484.12/x
  3. Step 3: Cross multiply
    8,466x = 11,680.38 × 5,484.12
  4. Step 4: Simplify right side
    8,466x = 64,056,605.57
  5. Step 5: Solve for x
    x = 64,056,605.57/8,466
  6. Step 6: Final answer
    x = 7,566.34

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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.