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Finding the Fourth Proportional to 8,513.57, 11,741.24 and 5,960.01

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Solution

The fourth proportional to 8,513.57, 11,741.24 and 5,960.01 is: 8,219.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,513.57 : 11,741.24 = 5,960.01 : x
  2. Step 2: Convert to fraction form
    8,513.57/11,741.24 = 5,960.01/x
  3. Step 3: Cross multiply
    8,513.57x = 11,741.24 × 5,960.01
  4. Step 4: Simplify right side
    8,513.57x = 69,977,878.01
  5. Step 5: Solve for x
    x = 69,977,878.01/8,513.57
  6. Step 6: Final answer
    x = 8,219.57

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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.