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Finding the Fourth Proportional to 10,099.84, 15,152.32 and 3,944.32

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Solution

The fourth proportional to 10,099.84, 15,152.32 and 3,944.32 is: 5,917.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,099.84 : 15,152.32 = 3,944.32 : x
  2. Step 2: Convert to fraction form
    10,099.84/15,152.32 = 3,944.32/x
  3. Step 3: Cross multiply
    10,099.84x = 15,152.32 × 3,944.32
  4. Step 4: Simplify right side
    10,099.84x = 59,765,598.82
  5. Step 5: Solve for x
    x = 59,765,598.82/10,099.84
  6. Step 6: Final answer
    x = 5,917.48

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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.