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Finding the Fourth Proportional to 11,702.61, 17,510.18 and 6,774.57

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Solution

The fourth proportional to 11,702.61, 17,510.18 and 6,774.57 is: 10,136.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,702.61 : 17,510.18 = 6,774.57 : x
  2. Step 2: Convert to fraction form
    11,702.61/17,510.18 = 6,774.57/x
  3. Step 3: Cross multiply
    11,702.61x = 17,510.18 × 6,774.57
  4. Step 4: Simplify right side
    11,702.61x = 118,623,906.25
  5. Step 5: Solve for x
    x = 118,623,906.25/11,702.61
  6. Step 6: Final answer
    x = 10,136.53

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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.