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Finding the Fourth Proportional to 6,154.06, 9,223.04 and 5,372.06

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Solution

The fourth proportional to 6,154.06, 9,223.04 and 5,372.06 is: 8,051.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,154.06 : 9,223.04 = 5,372.06 : x
  2. Step 2: Convert to fraction form
    6,154.06/9,223.04 = 5,372.06/x
  3. Step 3: Cross multiply
    6,154.06x = 9,223.04 × 5,372.06
  4. Step 4: Simplify right side
    6,154.06x = 49,546,724.26
  5. Step 5: Solve for x
    x = 49,546,724.26/6,154.06
  6. Step 6: Final answer
    x = 8,051.06

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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.