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Finding the Fourth Proportional to 4,537.50, 6,806.10 and 1,613.76

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Solution

The fourth proportional to 4,537.50, 6,806.10 and 1,613.76 is: 2,420.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,537.50 : 6,806.10 = 1,613.76 : x
  2. Step 2: Convert to fraction form
    4,537.50/6,806.10 = 1,613.76/x
  3. Step 3: Cross multiply
    4,537.50x = 6,806.10 × 1,613.76
  4. Step 4: Simplify right side
    4,537.50x = 10,983,411.94
  5. Step 5: Solve for x
    x = 10,983,411.94/4,537.50
  6. Step 6: Final answer
    x = 2,420.59

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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.