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Finding the Fourth Proportional to 4,659.69, 6,989.34 and 1,149.53

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Solution

The fourth proportional to 4,659.69, 6,989.34 and 1,149.53 is: 1,724.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,659.69 : 6,989.34 = 1,149.53 : x
  2. Step 2: Convert to fraction form
    4,659.69/6,989.34 = 1,149.53/x
  3. Step 3: Cross multiply
    4,659.69x = 6,989.34 × 1,149.53
  4. Step 4: Simplify right side
    4,659.69x = 8,034,421.06
  5. Step 5: Solve for x
    x = 8,034,421.06/4,659.69
  6. Step 6: Final answer
    x = 1,724.24

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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.