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Finding the Fourth Proportional to 7,727, 10,663.92 and 4,370.41

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Solution

The fourth proportional to 7,727, 10,663.92 and 4,370.41 is: 6,031.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,727 : 10,663.92 = 4,370.41 : x
  2. Step 2: Convert to fraction form
    7,727/10,663.92 = 4,370.41/x
  3. Step 3: Cross multiply
    7,727x = 10,663.92 × 4,370.41
  4. Step 4: Simplify right side
    7,727x = 46,605,702.61
  5. Step 5: Solve for x
    x = 46,605,702.61/7,727
  6. Step 6: Final answer
    x = 6,031.54

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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.