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Finding the Fourth Proportional to 12,302.25, 16,977.12 and 6,713.25

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Solution

The fourth proportional to 12,302.25, 16,977.12 and 6,713.25 is: 9,264.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,302.25 : 16,977.12 = 6,713.25 : x
  2. Step 2: Convert to fraction form
    12,302.25/16,977.12 = 6,713.25/x
  3. Step 3: Cross multiply
    12,302.25x = 16,977.12 × 6,713.25
  4. Step 4: Simplify right side
    12,302.25x = 113,971,650.84
  5. Step 5: Solve for x
    x = 113,971,650.84/12,302.25
  6. Step 6: Final answer
    x = 9,264.29

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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.