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Finding the Fourth Proportional to 9,384.39, 12,950.28 and 5,192.64

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Solution

The fourth proportional to 9,384.39, 12,950.28 and 5,192.64 is: 7,165.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,384.39 : 12,950.28 = 5,192.64 : x
  2. Step 2: Convert to fraction form
    9,384.39/12,950.28 = 5,192.64/x
  3. Step 3: Cross multiply
    9,384.39x = 12,950.28 × 5,192.64
  4. Step 4: Simplify right side
    9,384.39x = 67,246,141.94
  5. Step 5: Solve for x
    x = 67,246,141.94/9,384.39
  6. Step 6: Final answer
    x = 7,165.74

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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.