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Finding the Fourth Proportional to 9,349, 14,024.96 and 2,774.52

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Solution

The fourth proportional to 9,349, 14,024.96 and 2,774.52 is: 4,162.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,349 : 14,024.96 = 2,774.52 : x
  2. Step 2: Convert to fraction form
    9,349/14,024.96 = 2,774.52/x
  3. Step 3: Cross multiply
    9,349x = 14,024.96 × 2,774.52
  4. Step 4: Simplify right side
    9,349x = 38,912,532.02
  5. Step 5: Solve for x
    x = 38,912,532.02/9,349
  6. Step 6: Final answer
    x = 4,162.21

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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.