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Finding the Fourth Proportional to 12,267.30, 16,928.96 and 6,962.21

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Solution

The fourth proportional to 12,267.30, 16,928.96 and 6,962.21 is: 9,607.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,267.30 : 16,928.96 = 6,962.21 : x
  2. Step 2: Convert to fraction form
    12,267.30/16,928.96 = 6,962.21/x
  3. Step 3: Cross multiply
    12,267.30x = 16,928.96 × 6,962.21
  4. Step 4: Simplify right side
    12,267.30x = 117,862,855.15
  5. Step 5: Solve for x
    x = 117,862,855.15/12,267.30
  6. Step 6: Final answer
    x = 9,607.89

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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.