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Finding the Fourth Proportional to 9,783.73, 14,692.92 and 9,002.08

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Solution

The fourth proportional to 9,783.73, 14,692.92 and 9,002.08 is: 13,519.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,783.73 : 14,692.92 = 9,002.08 : x
  2. Step 2: Convert to fraction form
    9,783.73/14,692.92 = 9,002.08/x
  3. Step 3: Cross multiply
    9,783.73x = 14,692.92 × 9,002.08
  4. Step 4: Simplify right side
    9,783.73x = 132,266,722.80
  5. Step 5: Solve for x
    x = 132,266,722.80/9,783.73
  6. Step 6: Final answer
    x = 13,519.06

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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.