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Finding the Fourth Proportional to 11,461.52, 17,180.52 and 6,520.64

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Solution

The fourth proportional to 11,461.52, 17,180.52 and 6,520.64 is: 9,774.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,461.52 : 17,180.52 = 6,520.64 : x
  2. Step 2: Convert to fraction form
    11,461.52/17,180.52 = 6,520.64/x
  3. Step 3: Cross multiply
    11,461.52x = 17,180.52 × 6,520.64
  4. Step 4: Simplify right side
    11,461.52x = 112,027,985.93
  5. Step 5: Solve for x
    x = 112,027,985.93/11,461.52
  6. Step 6: Final answer
    x = 9,774.27

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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.