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Finding the Fourth Proportional to 6,144.60, 9,216.90 and 4,492.20

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Solution

The fourth proportional to 6,144.60, 9,216.90 and 4,492.20 is: 6,738.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,144.60 : 9,216.90 = 4,492.20 : x
  2. Step 2: Convert to fraction form
    6,144.60/9,216.90 = 4,492.20/x
  3. Step 3: Cross multiply
    6,144.60x = 9,216.90 × 4,492.20
  4. Step 4: Simplify right side
    6,144.60x = 41,404,158.18
  5. Step 5: Solve for x
    x = 41,404,158.18/6,144.60
  6. Step 6: Final answer
    x = 6,738.30

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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.