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Finding the Fourth Proportional to 7,722.59, 11,599.40 and 4,608.68

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Solution

The fourth proportional to 7,722.59, 11,599.40 and 4,608.68 is: 6,922.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,722.59 : 11,599.40 = 4,608.68 : x
  2. Step 2: Convert to fraction form
    7,722.59/11,599.40 = 4,608.68/x
  3. Step 3: Cross multiply
    7,722.59x = 11,599.40 × 4,608.68
  4. Step 4: Simplify right side
    7,722.59x = 53,457,922.79
  5. Step 5: Solve for x
    x = 53,457,922.79/7,722.59
  6. Step 6: Final answer
    x = 6,922.28

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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.