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Finding the Fourth Proportional to 4,492.87, 6,740.49 and 4,002.64

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Solution

The fourth proportional to 4,492.87, 6,740.49 and 4,002.64 is: 6,005.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,492.87 : 6,740.49 = 4,002.64 : x
  2. Step 2: Convert to fraction form
    4,492.87/6,740.49 = 4,002.64/x
  3. Step 3: Cross multiply
    4,492.87x = 6,740.49 × 4,002.64
  4. Step 4: Simplify right side
    4,492.87x = 26,979,754.89
  5. Step 5: Solve for x
    x = 26,979,754.89/4,492.87
  6. Step 6: Final answer
    x = 6,005.02

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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.