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Finding the Fourth Proportional to 4,973.72, 6,863.92 and 2,735.77

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Solution

The fourth proportional to 4,973.72, 6,863.92 and 2,735.77 is: 3,775.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,973.72 : 6,863.92 = 2,735.77 : x
  2. Step 2: Convert to fraction form
    4,973.72/6,863.92 = 2,735.77/x
  3. Step 3: Cross multiply
    4,973.72x = 6,863.92 × 2,735.77
  4. Step 4: Simplify right side
    4,973.72x = 18,778,095.29
  5. Step 5: Solve for x
    x = 18,778,095.29/4,973.72
  6. Step 6: Final answer
    x = 3,775.46

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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.