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Finding the Fourth Proportional to 4,973.94, 6,866.37 and 2,877.66

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Solution

The fourth proportional to 4,973.94, 6,866.37 and 2,877.66 is: 3,972.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,973.94 : 6,866.37 = 2,877.66 : x
  2. Step 2: Convert to fraction form
    4,973.94/6,866.37 = 2,877.66/x
  3. Step 3: Cross multiply
    4,973.94x = 6,866.37 × 2,877.66
  4. Step 4: Simplify right side
    4,973.94x = 19,759,078.29
  5. Step 5: Solve for x
    x = 19,759,078.29/4,973.94
  6. Step 6: Final answer
    x = 3,972.52

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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.