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Finding the Fourth Proportional to 11,702.22, 17,468.54 and 10,835.12

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Solution

The fourth proportional to 11,702.22, 17,468.54 and 10,835.12 is: 16,174.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,702.22 : 17,468.54 = 10,835.12 : x
  2. Step 2: Convert to fraction form
    11,702.22/17,468.54 = 10,835.12/x
  3. Step 3: Cross multiply
    11,702.22x = 17,468.54 × 10,835.12
  4. Step 4: Simplify right side
    11,702.22x = 189,273,585.61
  5. Step 5: Solve for x
    x = 189,273,585.61/11,702.22
  6. Step 6: Final answer
    x = 16,174.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.