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Finding the Fourth Proportional to 14,871.68, 20,522.88 and 8,584.05

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Solution

The fourth proportional to 14,871.68, 20,522.88 and 8,584.05 is: 11,845.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,871.68 : 20,522.88 = 8,584.05 : x
  2. Step 2: Convert to fraction form
    14,871.68/20,522.88 = 8,584.05/x
  3. Step 3: Cross multiply
    14,871.68x = 20,522.88 × 8,584.05
  4. Step 4: Simplify right side
    14,871.68x = 176,169,428.06
  5. Step 5: Solve for x
    x = 176,169,428.06/14,871.68
  6. Step 6: Final answer
    x = 11,845.97

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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.