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Finding the Fourth Proportional to 4,857.53, 6,696.54 and 4,108.46

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Solution

The fourth proportional to 4,857.53, 6,696.54 and 4,108.46 is: 5,663.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,857.53 : 6,696.54 = 4,108.46 : x
  2. Step 2: Convert to fraction form
    4,857.53/6,696.54 = 4,108.46/x
  3. Step 3: Cross multiply
    4,857.53x = 6,696.54 × 4,108.46
  4. Step 4: Simplify right side
    4,857.53x = 27,512,433.25
  5. Step 5: Solve for x
    x = 27,512,433.25/4,857.53
  6. Step 6: Final answer
    x = 5,663.88

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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.