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Finding the Fourth Proportional to 14,338.84, 21,484.02 and 6,946.84

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Solution

The fourth proportional to 14,338.84, 21,484.02 and 6,946.84 is: 10,408.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,338.84 : 21,484.02 = 6,946.84 : x
  2. Step 2: Convert to fraction form
    14,338.84/21,484.02 = 6,946.84/x
  3. Step 3: Cross multiply
    14,338.84x = 21,484.02 × 6,946.84
  4. Step 4: Simplify right side
    14,338.84x = 149,246,049.50
  5. Step 5: Solve for x
    x = 149,246,049.50/14,338.84
  6. Step 6: Final answer
    x = 10,408.52

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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.