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Finding the Fourth Proportional to 7,344.66, 10,137 and 4,200.84

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Solution

The fourth proportional to 7,344.66, 10,137 and 4,200.84 is: 5,797.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,344.66 : 10,137 = 4,200.84 : x
  2. Step 2: Convert to fraction form
    7,344.66/10,137 = 4,200.84/x
  3. Step 3: Cross multiply
    7,344.66x = 10,137 × 4,200.84
  4. Step 4: Simplify right side
    7,344.66x = 42,583,915.08
  5. Step 5: Solve for x
    x = 42,583,915.08/7,344.66
  6. Step 6: Final answer
    x = 5,797.94

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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.