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Finding the Fourth Proportional to 38,053.25, 57,083.24 and 9,973.20

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Solution

The fourth proportional to 38,053.25, 57,083.24 and 9,973.20 is: 14,960.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,053.25 : 57,083.24 = 9,973.20 : x
  2. Step 2: Convert to fraction form
    38,053.25/57,083.24 = 9,973.20/x
  3. Step 3: Cross multiply
    38,053.25x = 57,083.24 × 9,973.20
  4. Step 4: Simplify right side
    38,053.25x = 569,302,519.30
  5. Step 5: Solve for x
    x = 569,302,519.30/38,053.25
  6. Step 6: Final answer
    x = 14,960.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.