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Finding the Fourth Proportional to 7,124.66, 10,693.88 and 3,429.44

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Solution

The fourth proportional to 7,124.66, 10,693.88 and 3,429.44 is: 5,147.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,124.66 : 10,693.88 = 3,429.44 : x
  2. Step 2: Convert to fraction form
    7,124.66/10,693.88 = 3,429.44/x
  3. Step 3: Cross multiply
    7,124.66x = 10,693.88 × 3,429.44
  4. Step 4: Simplify right side
    7,124.66x = 36,674,019.83
  5. Step 5: Solve for x
    x = 36,674,019.83/7,124.66
  6. Step 6: Final answer
    x = 5,147.48

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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.