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Finding the Fourth Proportional to 7,057.52, 9,738.30 and 4,032.11

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Solution

The fourth proportional to 7,057.52, 9,738.30 and 4,032.11 is: 5,563.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,057.52 : 9,738.30 = 4,032.11 : x
  2. Step 2: Convert to fraction form
    7,057.52/9,738.30 = 4,032.11/x
  3. Step 3: Cross multiply
    7,057.52x = 9,738.30 × 4,032.11
  4. Step 4: Simplify right side
    7,057.52x = 39,265,904.40
  5. Step 5: Solve for x
    x = 39,265,904.40/7,057.52
  6. Step 6: Final answer
    x = 5,563.70

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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.