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Finding the Fourth Proportional to 10,622.53, 15,902.64 and 7,448.97

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Solution

The fourth proportional to 10,622.53, 15,902.64 and 7,448.97 is: 11,151.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,622.53 : 15,902.64 = 7,448.97 : x
  2. Step 2: Convert to fraction form
    10,622.53/15,902.64 = 7,448.97/x
  3. Step 3: Cross multiply
    10,622.53x = 15,902.64 × 7,448.97
  4. Step 4: Simplify right side
    10,622.53x = 118,458,288.28
  5. Step 5: Solve for x
    x = 118,458,288.28/10,622.53
  6. Step 6: Final answer
    x = 11,151.61

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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.