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Finding the Fourth Proportional to 14,412.84, 19,894.68 and 8,446.44

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Solution

The fourth proportional to 14,412.84, 19,894.68 and 8,446.44 is: 11,658.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,412.84 : 19,894.68 = 8,446.44 : x
  2. Step 2: Convert to fraction form
    14,412.84/19,894.68 = 8,446.44/x
  3. Step 3: Cross multiply
    14,412.84x = 19,894.68 × 8,446.44
  4. Step 4: Simplify right side
    14,412.84x = 168,039,220.94
  5. Step 5: Solve for x
    x = 168,039,220.94/14,412.84
  6. Step 6: Final answer
    x = 11,658.99

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Half scale
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Double scale
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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.