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Finding the Fourth Proportional to 7,539.69, 10,413.86 and 6,593.07

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Solution

The fourth proportional to 7,539.69, 10,413.86 and 6,593.07 is: 9,106.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,539.69 : 10,413.86 = 6,593.07 : x
  2. Step 2: Convert to fraction form
    7,539.69/10,413.86 = 6,593.07/x
  3. Step 3: Cross multiply
    7,539.69x = 10,413.86 × 6,593.07
  4. Step 4: Simplify right side
    7,539.69x = 68,659,274.98
  5. Step 5: Solve for x
    x = 68,659,274.98/7,539.69
  6. Step 6: Final answer
    x = 9,106.38

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Half scale
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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.