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Finding the Fourth Proportional to 4,665.96, 7,000.76 and 1,743.58

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Solution

The fourth proportional to 4,665.96, 7,000.76 and 1,743.58 is: 2,616.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,665.96 : 7,000.76 = 1,743.58 : x
  2. Step 2: Convert to fraction form
    4,665.96/7,000.76 = 1,743.58/x
  3. Step 3: Cross multiply
    4,665.96x = 7,000.76 × 1,743.58
  4. Step 4: Simplify right side
    4,665.96x = 12,206,341.40
  5. Step 5: Solve for x
    x = 12,206,341.40/4,665.96
  6. Step 6: Final answer
    x = 2,616.04

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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.