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Finding the Fourth Proportional to 6,968.94, 9,609.66 and 5,549.82

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Solution

The fourth proportional to 6,968.94, 9,609.66 and 5,549.82 is: 7,652.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,968.94 : 9,609.66 = 5,549.82 : x
  2. Step 2: Convert to fraction form
    6,968.94/9,609.66 = 5,549.82/x
  3. Step 3: Cross multiply
    6,968.94x = 9,609.66 × 5,549.82
  4. Step 4: Simplify right side
    6,968.94x = 53,331,883.26
  5. Step 5: Solve for x
    x = 53,331,883.26/6,968.94
  6. Step 6: Final answer
    x = 7,652.80

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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.