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Finding the Fourth Proportional to 14,549.84, 21,832.59 and 5,784.84

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Solution

The fourth proportional to 14,549.84, 21,832.59 and 5,784.84 is: 8,680.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,549.84 : 21,832.59 = 5,784.84 : x
  2. Step 2: Convert to fraction form
    14,549.84/21,832.59 = 5,784.84/x
  3. Step 3: Cross multiply
    14,549.84x = 21,832.59 × 5,784.84
  4. Step 4: Simplify right side
    14,549.84x = 126,298,039.94
  5. Step 5: Solve for x
    x = 126,298,039.94/14,549.84
  6. Step 6: Final answer
    x = 8,680.37

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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.