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Finding the Fourth Proportional to 8,546.30, 11,792 and 4,959.18

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Solution

The fourth proportional to 8,546.30, 11,792 and 4,959.18 is: 6,842.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,546.30 : 11,792 = 4,959.18 : x
  2. Step 2: Convert to fraction form
    8,546.30/11,792 = 4,959.18/x
  3. Step 3: Cross multiply
    8,546.30x = 11,792 × 4,959.18
  4. Step 4: Simplify right side
    8,546.30x = 58,478,650.56
  5. Step 5: Solve for x
    x = 58,478,650.56/8,546.30
  6. Step 6: Final answer
    x = 6,842.57

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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.