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Finding the Fourth Proportional to 7,596.66, 11,395.80 and 3,214.56

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Solution

The fourth proportional to 7,596.66, 11,395.80 and 3,214.56 is: 4,822.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,596.66 : 11,395.80 = 3,214.56 : x
  2. Step 2: Convert to fraction form
    7,596.66/11,395.80 = 3,214.56/x
  3. Step 3: Cross multiply
    7,596.66x = 11,395.80 × 3,214.56
  4. Step 4: Simplify right side
    7,596.66x = 36,632,482.85
  5. Step 5: Solve for x
    x = 36,632,482.85/7,596.66
  6. Step 6: Final answer
    x = 4,822.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.