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Finding the Fourth Proportional to 6,597.65, 9,104.74 and 3,613.48

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Solution

The fourth proportional to 6,597.65, 9,104.74 and 3,613.48 is: 4,986.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,597.65 : 9,104.74 = 3,613.48 : x
  2. Step 2: Convert to fraction form
    6,597.65/9,104.74 = 3,613.48/x
  3. Step 3: Cross multiply
    6,597.65x = 9,104.74 × 3,613.48
  4. Step 4: Simplify right side
    6,597.65x = 32,899,764.10
  5. Step 5: Solve for x
    x = 32,899,764.10/6,597.65
  6. Step 6: Final answer
    x = 4,986.59

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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.