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Finding the Fourth Proportional to 5,492.98, 8,247.68 and 5,410.98

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Solution

The fourth proportional to 5,492.98, 8,247.68 and 5,410.98 is: 8,124.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,492.98 : 8,247.68 = 5,410.98 : x
  2. Step 2: Convert to fraction form
    5,492.98/8,247.68 = 5,410.98/x
  3. Step 3: Cross multiply
    5,492.98x = 8,247.68 × 5,410.98
  4. Step 4: Simplify right side
    5,492.98x = 44,628,031.53
  5. Step 5: Solve for x
    x = 44,628,031.53/5,492.98
  6. Step 6: Final answer
    x = 8,124.56

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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.