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Finding the Fourth Proportional to 9,197.64, 12,692.50 and 5,005.80

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Solution

The fourth proportional to 9,197.64, 12,692.50 and 5,005.80 is: 6,907.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,197.64 : 12,692.50 = 5,005.80 : x
  2. Step 2: Convert to fraction form
    9,197.64/12,692.50 = 5,005.80/x
  3. Step 3: Cross multiply
    9,197.64x = 12,692.50 × 5,005.80
  4. Step 4: Simplify right side
    9,197.64x = 63,536,116.50
  5. Step 5: Solve for x
    x = 63,536,116.50/9,197.64
  6. Step 6: Final answer
    x = 6,907.87

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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.