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Finding the Fourth Proportional to 7,441.59, 10,266.17 and 4,604.05

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Solution

The fourth proportional to 7,441.59, 10,266.17 and 4,604.05 is: 6,351.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,441.59 : 10,266.17 = 4,604.05 : x
  2. Step 2: Convert to fraction form
    7,441.59/10,266.17 = 4,604.05/x
  3. Step 3: Cross multiply
    7,441.59x = 10,266.17 × 4,604.05
  4. Step 4: Simplify right side
    7,441.59x = 47,265,959.99
  5. Step 5: Solve for x
    x = 47,265,959.99/7,441.59
  6. Step 6: Final answer
    x = 6,351.59

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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.