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Finding the Fourth Proportional to 7,089.93, 9,771.74 and 5,197.49

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Solution

The fourth proportional to 7,089.93, 9,771.74 and 5,197.49 is: 7,163.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,089.93 : 9,771.74 = 5,197.49 : x
  2. Step 2: Convert to fraction form
    7,089.93/9,771.74 = 5,197.49/x
  3. Step 3: Cross multiply
    7,089.93x = 9,771.74 × 5,197.49
  4. Step 4: Simplify right side
    7,089.93x = 50,788,494.95
  5. Step 5: Solve for x
    x = 50,788,494.95/7,089.93
  6. Step 6: Final answer
    x = 7,163.47

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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.