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Finding the Fourth Proportional to 4,492.67, 6,741.63 and 2,843.24

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Solution

The fourth proportional to 4,492.67, 6,741.63 and 2,843.24 is: 4,266.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,492.67 : 6,741.63 = 2,843.24 : x
  2. Step 2: Convert to fraction form
    4,492.67/6,741.63 = 2,843.24/x
  3. Step 3: Cross multiply
    4,492.67x = 6,741.63 × 2,843.24
  4. Step 4: Simplify right side
    4,492.67x = 19,168,038.37
  5. Step 5: Solve for x
    x = 19,168,038.37/4,492.67
  6. Step 6: Final answer
    x = 4,266.52

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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.