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Finding the Fourth Proportional to 10,184.70, 14,049.86 and 6,828.24

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Solution

The fourth proportional to 10,184.70, 14,049.86 and 6,828.24 is: 9,419.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,184.70 : 14,049.86 = 6,828.24 : x
  2. Step 2: Convert to fraction form
    10,184.70/14,049.86 = 6,828.24/x
  3. Step 3: Cross multiply
    10,184.70x = 14,049.86 × 6,828.24
  4. Step 4: Simplify right side
    10,184.70x = 95,935,816.05
  5. Step 5: Solve for x
    x = 95,935,816.05/10,184.70
  6. Step 6: Final answer
    x = 9,419.60

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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.