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Finding the Fourth Proportional to 7,514.57, 10,369.91 and 4,157.57

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Solution

The fourth proportional to 7,514.57, 10,369.91 and 4,157.57 is: 5,737.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,514.57 : 10,369.91 = 4,157.57 : x
  2. Step 2: Convert to fraction form
    7,514.57/10,369.91 = 4,157.57/x
  3. Step 3: Cross multiply
    7,514.57x = 10,369.91 × 4,157.57
  4. Step 4: Simplify right side
    7,514.57x = 43,113,585.26
  5. Step 5: Solve for x
    x = 43,113,585.26/7,514.57
  6. Step 6: Final answer
    x = 5,737.34

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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.