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Finding the Fourth Proportional to 4,102.54, 6,157.05 and 1,506.22

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Solution

The fourth proportional to 4,102.54, 6,157.05 and 1,506.22 is: 2,260.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,102.54 : 6,157.05 = 1,506.22 : x
  2. Step 2: Convert to fraction form
    4,102.54/6,157.05 = 1,506.22/x
  3. Step 3: Cross multiply
    4,102.54x = 6,157.05 × 1,506.22
  4. Step 4: Simplify right side
    4,102.54x = 9,273,850.81
  5. Step 5: Solve for x
    x = 9,273,850.81/4,102.54
  6. Step 6: Final answer
    x = 2,260.52

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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.