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Finding the Fourth Proportional to 9,862.56, 13,609.81 and 5,385.44

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Solution

The fourth proportional to 9,862.56, 13,609.81 and 5,385.44 is: 7,431.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,862.56 : 13,609.81 = 5,385.44 : x
  2. Step 2: Convert to fraction form
    9,862.56/13,609.81 = 5,385.44/x
  3. Step 3: Cross multiply
    9,862.56x = 13,609.81 × 5,385.44
  4. Step 4: Simplify right side
    9,862.56x = 73,294,749.07
  5. Step 5: Solve for x
    x = 73,294,749.07/9,862.56
  6. Step 6: Final answer
    x = 7,431.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.