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Finding the Fourth Proportional to 6,554.25, 9,032.31 and 4,192.29

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Solution

The fourth proportional to 6,554.25, 9,032.31 and 4,192.29 is: 5,777.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,554.25 : 9,032.31 = 4,192.29 : x
  2. Step 2: Convert to fraction form
    6,554.25/9,032.31 = 4,192.29/x
  3. Step 3: Cross multiply
    6,554.25x = 9,032.31 × 4,192.29
  4. Step 4: Simplify right side
    6,554.25x = 37,866,062.89
  5. Step 5: Solve for x
    x = 37,866,062.89/6,554.25
  6. Step 6: Final answer
    x = 5,777.33

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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.