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Finding the Fourth Proportional to 9,808.84, 14,673.12 and 8,167.60

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Solution

The fourth proportional to 9,808.84, 14,673.12 and 8,167.60 is: 12,217.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,808.84 : 14,673.12 = 8,167.60 : x
  2. Step 2: Convert to fraction form
    9,808.84/14,673.12 = 8,167.60/x
  3. Step 3: Cross multiply
    9,808.84x = 14,673.12 × 8,167.60
  4. Step 4: Simplify right side
    9,808.84x = 119,844,174.91
  5. Step 5: Solve for x
    x = 119,844,174.91/9,808.84
  6. Step 6: Final answer
    x = 12,217.98

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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.