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Finding the Fourth Proportional to 7,611.10, 11,416.49 and 3,507.10

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Solution

The fourth proportional to 7,611.10, 11,416.49 and 3,507.10 is: 5,260.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,611.10 : 11,416.49 = 3,507.10 : x
  2. Step 2: Convert to fraction form
    7,611.10/11,416.49 = 3,507.10/x
  3. Step 3: Cross multiply
    7,611.10x = 11,416.49 × 3,507.10
  4. Step 4: Simplify right side
    7,611.10x = 40,038,772.08
  5. Step 5: Solve for x
    x = 40,038,772.08/7,611.10
  6. Step 6: Final answer
    x = 5,260.58

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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.