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Finding the Fourth Proportional to 9,057.64, 13,586.14 and 2,483.72

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Solution

The fourth proportional to 9,057.64, 13,586.14 and 2,483.72 is: 3,725.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,057.64 : 13,586.14 = 2,483.72 : x
  2. Step 2: Convert to fraction form
    9,057.64/13,586.14 = 2,483.72/x
  3. Step 3: Cross multiply
    9,057.64x = 13,586.14 × 2,483.72
  4. Step 4: Simplify right side
    9,057.64x = 33,744,167.64
  5. Step 5: Solve for x
    x = 33,744,167.64/9,057.64
  6. Step 6: Final answer
    x = 3,725.49

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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.