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Finding the Fourth Proportional to 4,963.51, 6,848.13 and 3,076.57

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Solution

The fourth proportional to 4,963.51, 6,848.13 and 3,076.57 is: 4,244.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,963.51 : 6,848.13 = 3,076.57 : x
  2. Step 2: Convert to fraction form
    4,963.51/6,848.13 = 3,076.57/x
  3. Step 3: Cross multiply
    4,963.51x = 6,848.13 × 3,076.57
  4. Step 4: Simplify right side
    4,963.51x = 21,068,751.31
  5. Step 5: Solve for x
    x = 21,068,751.31/4,963.51
  6. Step 6: Final answer
    x = 4,244.73

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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.