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Finding the Fourth Proportional to 9,157.03, 12,635.85 and 5,178.13

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Solution

The fourth proportional to 9,157.03, 12,635.85 and 5,178.13 is: 7,145.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,157.03 : 12,635.85 = 5,178.13 : x
  2. Step 2: Convert to fraction form
    9,157.03/12,635.85 = 5,178.13/x
  3. Step 3: Cross multiply
    9,157.03x = 12,635.85 × 5,178.13
  4. Step 4: Simplify right side
    9,157.03x = 65,430,073.96
  5. Step 5: Solve for x
    x = 65,430,073.96/9,157.03
  6. Step 6: Final answer
    x = 7,145.34

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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.