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Finding the Fourth Proportional to 6,968.56, 9,596.76 and 6,523.72

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Solution

The fourth proportional to 6,968.56, 9,596.76 and 6,523.72 is: 8,984.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,968.56 : 9,596.76 = 6,523.72 : x
  2. Step 2: Convert to fraction form
    6,968.56/9,596.76 = 6,523.72/x
  3. Step 3: Cross multiply
    6,968.56x = 9,596.76 × 6,523.72
  4. Step 4: Simplify right side
    6,968.56x = 62,606,575.15
  5. Step 5: Solve for x
    x = 62,606,575.15/6,968.56
  6. Step 6: Final answer
    x = 8,984.15

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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.