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Finding the Fourth Proportional to 7,192.38, 9,919.86 and 4,675.31

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Solution

The fourth proportional to 7,192.38, 9,919.86 and 4,675.31 is: 6,448.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,192.38 : 9,919.86 = 4,675.31 : x
  2. Step 2: Convert to fraction form
    7,192.38/9,919.86 = 4,675.31/x
  3. Step 3: Cross multiply
    7,192.38x = 9,919.86 × 4,675.31
  4. Step 4: Simplify right side
    7,192.38x = 46,378,420.66
  5. Step 5: Solve for x
    x = 46,378,420.66/7,192.38
  6. Step 6: Final answer
    x = 6,448.27

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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.