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Finding the Fourth Proportional to 4,689.66, 7,034.30 and 1,179.68

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Solution

The fourth proportional to 4,689.66, 7,034.30 and 1,179.68 is: 1,769.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,689.66 : 7,034.30 = 1,179.68 : x
  2. Step 2: Convert to fraction form
    4,689.66/7,034.30 = 1,179.68/x
  3. Step 3: Cross multiply
    4,689.66x = 7,034.30 × 1,179.68
  4. Step 4: Simplify right side
    4,689.66x = 8,298,223.02
  5. Step 5: Solve for x
    x = 8,298,223.02/4,689.66
  6. Step 6: Final answer
    x = 1,769.47

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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.