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Finding the Fourth Proportional to 10,091.44, 13,922.28 and 7,445.14

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Solution

The fourth proportional to 10,091.44, 13,922.28 and 7,445.14 is: 10,271.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,091.44 : 13,922.28 = 7,445.14 : x
  2. Step 2: Convert to fraction form
    10,091.44/13,922.28 = 7,445.14/x
  3. Step 3: Cross multiply
    10,091.44x = 13,922.28 × 7,445.14
  4. Step 4: Simplify right side
    10,091.44x = 103,653,323.72
  5. Step 5: Solve for x
    x = 103,653,323.72/10,091.44
  6. Step 6: Final answer
    x = 10,271.41

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.