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Finding the Fourth Proportional to 4,606.94, 6,910.16 and 1,486.88

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Solution

The fourth proportional to 4,606.94, 6,910.16 and 1,486.88 is: 2,230.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,606.94 : 6,910.16 = 1,486.88 : x
  2. Step 2: Convert to fraction form
    4,606.94/6,910.16 = 1,486.88/x
  3. Step 3: Cross multiply
    4,606.94x = 6,910.16 × 1,486.88
  4. Step 4: Simplify right side
    4,606.94x = 10,274,599.69
  5. Step 5: Solve for x
    x = 10,274,599.69/4,606.94
  6. Step 6: Final answer
    x = 2,230.25

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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.