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Finding the Fourth Proportional to 7,057.57, 10,585.49 and 4,097.63

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Solution

The fourth proportional to 7,057.57, 10,585.49 and 4,097.63 is: 6,145.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,057.57 : 10,585.49 = 4,097.63 : x
  2. Step 2: Convert to fraction form
    7,057.57/10,585.49 = 4,097.63/x
  3. Step 3: Cross multiply
    7,057.57x = 10,585.49 × 4,097.63
  4. Step 4: Simplify right side
    7,057.57x = 43,375,421.39
  5. Step 5: Solve for x
    x = 43,375,421.39/7,057.57
  6. Step 6: Final answer
    x = 6,145.94

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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.