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Finding the Fourth Proportional to 6,596.69, 9,103.46 and 3,612.80

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Solution

The fourth proportional to 6,596.69, 9,103.46 and 3,612.80 is: 4,985.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,596.69 : 9,103.46 = 3,612.80 : x
  2. Step 2: Convert to fraction form
    6,596.69/9,103.46 = 3,612.80/x
  3. Step 3: Cross multiply
    6,596.69x = 9,103.46 × 3,612.80
  4. Step 4: Simplify right side
    6,596.69x = 32,889,015.47
  5. Step 5: Solve for x
    x = 32,889,015.47/6,596.69
  6. Step 6: Final answer
    x = 4,985.68

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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.