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Finding the Fourth Proportional to 6,538.88, 9,025.60 and 3,746.24

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Solution

The fourth proportional to 6,538.88, 9,025.60 and 3,746.24 is: 5,170.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,538.88 : 9,025.60 = 3,746.24 : x
  2. Step 2: Convert to fraction form
    6,538.88/9,025.60 = 3,746.24/x
  3. Step 3: Cross multiply
    6,538.88x = 9,025.60 × 3,746.24
  4. Step 4: Simplify right side
    6,538.88x = 33,812,063.74
  5. Step 5: Solve for x
    x = 33,812,063.74/6,538.88
  6. Step 6: Final answer
    x = 5,170.93

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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.