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Finding the Fourth Proportional to 11,133.84, 16,674.84 and 9,384.24

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Solution

The fourth proportional to 11,133.84, 16,674.84 and 9,384.24 is: 14,054.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,133.84 : 16,674.84 = 9,384.24 : x
  2. Step 2: Convert to fraction form
    11,133.84/16,674.84 = 9,384.24/x
  3. Step 3: Cross multiply
    11,133.84x = 16,674.84 × 9,384.24
  4. Step 4: Simplify right side
    11,133.84x = 156,480,700.52
  5. Step 5: Solve for x
    x = 156,480,700.52/11,133.84
  6. Step 6: Final answer
    x = 14,054.51

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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.