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Finding the Fourth Proportional to 12,478.29, 17,220.08 and 6,813.09

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Solution

The fourth proportional to 12,478.29, 17,220.08 and 6,813.09 is: 9,402.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,478.29 : 17,220.08 = 6,813.09 : x
  2. Step 2: Convert to fraction form
    12,478.29/17,220.08 = 6,813.09/x
  3. Step 3: Cross multiply
    12,478.29x = 17,220.08 × 6,813.09
  4. Step 4: Simplify right side
    12,478.29x = 117,321,885.12
  5. Step 5: Solve for x
    x = 117,321,885.12/12,478.29
  6. Step 6: Final answer
    x = 9,402.08

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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.