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Finding the Fourth Proportional to 7,594.42, 11,375.68 and 4,819.68

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Solution

The fourth proportional to 7,594.42, 11,375.68 and 4,819.68 is: 7,219.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,594.42 : 11,375.68 = 4,819.68 : x
  2. Step 2: Convert to fraction form
    7,594.42/11,375.68 = 4,819.68/x
  3. Step 3: Cross multiply
    7,594.42x = 11,375.68 × 4,819.68
  4. Step 4: Simplify right side
    7,594.42x = 54,827,137.38
  5. Step 5: Solve for x
    x = 54,827,137.38/7,594.42
  6. Step 6: Final answer
    x = 7,219.40

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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.