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Finding the Fourth Proportional to 6,157.06, 9,235.60 and 1,540.06

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Solution

The fourth proportional to 6,157.06, 9,235.60 and 1,540.06 is: 2,310.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,157.06 : 9,235.60 = 1,540.06 : x
  2. Step 2: Convert to fraction form
    6,157.06/9,235.60 = 1,540.06/x
  3. Step 3: Cross multiply
    6,157.06x = 9,235.60 × 1,540.06
  4. Step 4: Simplify right side
    6,157.06x = 14,223,378.14
  5. Step 5: Solve for x
    x = 14,223,378.14/6,157.06
  6. Step 6: Final answer
    x = 2,310.09

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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.