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Finding the Fourth Proportional to 7,495.94, 10,344.80 and 4,138.74

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Solution

The fourth proportional to 7,495.94, 10,344.80 and 4,138.74 is: 5,711.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,495.94 : 10,344.80 = 4,138.74 : x
  2. Step 2: Convert to fraction form
    7,495.94/10,344.80 = 4,138.74/x
  3. Step 3: Cross multiply
    7,495.94x = 10,344.80 × 4,138.74
  4. Step 4: Simplify right side
    7,495.94x = 42,814,459.54
  5. Step 5: Solve for x
    x = 42,814,459.54/7,495.94
  6. Step 6: Final answer
    x = 5,711.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.