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Finding the Fourth Proportional to 4,906.32, 7,357.02 and 1,786.20

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Solution

The fourth proportional to 4,906.32, 7,357.02 and 1,786.20 is: 2,678.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,906.32 : 7,357.02 = 1,786.20 : x
  2. Step 2: Convert to fraction form
    4,906.32/7,357.02 = 1,786.20/x
  3. Step 3: Cross multiply
    4,906.32x = 7,357.02 × 1,786.20
  4. Step 4: Simplify right side
    4,906.32x = 13,141,109.12
  5. Step 5: Solve for x
    x = 13,141,109.12/4,906.32
  6. Step 6: Final answer
    x = 2,678.40

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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.