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Finding the Fourth Proportional to 27,702.42, 41,543.91 and 7,975.70

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Solution

The fourth proportional to 27,702.42, 41,543.91 and 7,975.70 is: 11,960.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,702.42 : 41,543.91 = 7,975.70 : x
  2. Step 2: Convert to fraction form
    27,702.42/41,543.91 = 7,975.70/x
  3. Step 3: Cross multiply
    27,702.42x = 41,543.91 × 7,975.70
  4. Step 4: Simplify right side
    27,702.42x = 331,341,762.99
  5. Step 5: Solve for x
    x = 331,341,762.99/27,702.42
  6. Step 6: Final answer
    x = 11,960.75

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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.