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Finding the Fourth Proportional to 4,731.14, 7,096.78 and 1,444.32

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Solution

The fourth proportional to 4,731.14, 7,096.78 and 1,444.32 is: 2,166.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,731.14 : 7,096.78 = 1,444.32 : x
  2. Step 2: Convert to fraction form
    4,731.14/7,096.78 = 1,444.32/x
  3. Step 3: Cross multiply
    4,731.14x = 7,096.78 × 1,444.32
  4. Step 4: Simplify right side
    4,731.14x = 10,250,021.29
  5. Step 5: Solve for x
    x = 10,250,021.29/4,731.14
  6. Step 6: Final answer
    x = 2,166.50

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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.