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Finding the Fourth Proportional to 5,096.25, 7,032.84 and 2,973.24

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Solution

The fourth proportional to 5,096.25, 7,032.84 and 2,973.24 is: 4,103.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,096.25 : 7,032.84 = 2,973.24 : x
  2. Step 2: Convert to fraction form
    5,096.25/7,032.84 = 2,973.24/x
  3. Step 3: Cross multiply
    5,096.25x = 7,032.84 × 2,973.24
  4. Step 4: Simplify right side
    5,096.25x = 20,910,314.23
  5. Step 5: Solve for x
    x = 20,910,314.23/5,096.25
  6. Step 6: Final answer
    x = 4,103.08

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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.