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Finding the Fourth Proportional to 4,913.64, 7,370.88 and 1,992.24

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Solution

The fourth proportional to 4,913.64, 7,370.88 and 1,992.24 is: 2,988.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,913.64 : 7,370.88 = 1,992.24 : x
  2. Step 2: Convert to fraction form
    4,913.64/7,370.88 = 1,992.24/x
  3. Step 3: Cross multiply
    4,913.64x = 7,370.88 × 1,992.24
  4. Step 4: Simplify right side
    4,913.64x = 14,684,561.97
  5. Step 5: Solve for x
    x = 14,684,561.97/4,913.64
  6. Step 6: Final answer
    x = 2,988.53

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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.