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Finding the Fourth Proportional to 9,197.75, 12,692.84 and 5,006.00

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Solution

The fourth proportional to 9,197.75, 12,692.84 and 5,006.00 is: 6,908.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,197.75 : 12,692.84 = 5,006.00 : x
  2. Step 2: Convert to fraction form
    9,197.75/12,692.84 = 5,006.00/x
  3. Step 3: Cross multiply
    9,197.75x = 12,692.84 × 5,006.00
  4. Step 4: Simplify right side
    9,197.75x = 63,540,363.74
  5. Step 5: Solve for x
    x = 63,540,363.74/9,197.75
  6. Step 6: Final answer
    x = 6,908.25

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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.