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Finding the Fourth Proportional to 7,770.56, 10,723.50 and 4,413.47

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Solution

The fourth proportional to 7,770.56, 10,723.50 and 4,413.47 is: 6,090.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,770.56 : 10,723.50 = 4,413.47 : x
  2. Step 2: Convert to fraction form
    7,770.56/10,723.50 = 4,413.47/x
  3. Step 3: Cross multiply
    7,770.56x = 10,723.50 × 4,413.47
  4. Step 4: Simplify right side
    7,770.56x = 47,327,845.55
  5. Step 5: Solve for x
    x = 47,327,845.55/7,770.56
  6. Step 6: Final answer
    x = 6,090.66

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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.