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Finding the Fourth Proportional to 10,663.44, 14,713.86 and 6,413.48

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Solution

The fourth proportional to 10,663.44, 14,713.86 and 6,413.48 is: 8,849.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,663.44 : 14,713.86 = 6,413.48 : x
  2. Step 2: Convert to fraction form
    10,663.44/14,713.86 = 6,413.48/x
  3. Step 3: Cross multiply
    10,663.44x = 14,713.86 × 6,413.48
  4. Step 4: Simplify right side
    10,663.44x = 94,367,046.83
  5. Step 5: Solve for x
    x = 94,367,046.83/10,663.44
  6. Step 6: Final answer
    x = 8,849.59

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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.