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Finding the Fourth Proportional to 6,038.52, 9,057.74 and 3,971.58

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Solution

The fourth proportional to 6,038.52, 9,057.74 and 3,971.58 is: 5,957.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,038.52 : 9,057.74 = 3,971.58 : x
  2. Step 2: Convert to fraction form
    6,038.52/9,057.74 = 3,971.58/x
  3. Step 3: Cross multiply
    6,038.52x = 9,057.74 × 3,971.58
  4. Step 4: Simplify right side
    6,038.52x = 35,973,519.17
  5. Step 5: Solve for x
    x = 35,973,519.17/6,038.52
  6. Step 6: Final answer
    x = 5,957.34

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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.