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Finding the Fourth Proportional to 14,644.84, 20,209.06 and 8,677.08

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Solution

The fourth proportional to 14,644.84, 20,209.06 and 8,677.08 is: 11,973.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,644.84 : 20,209.06 = 8,677.08 : x
  2. Step 2: Convert to fraction form
    14,644.84/20,209.06 = 8,677.08/x
  3. Step 3: Cross multiply
    14,644.84x = 20,209.06 × 8,677.08
  4. Step 4: Simplify right side
    14,644.84x = 175,355,630.34
  5. Step 5: Solve for x
    x = 175,355,630.34/14,644.84
  6. Step 6: Final answer
    x = 11,973.89

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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.