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Finding the Fourth Proportional to 12,284, 16,952.04 and 6,695.12

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Solution

The fourth proportional to 12,284, 16,952.04 and 6,695.12 is: 9,239.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,284 : 16,952.04 = 6,695.12 : x
  2. Step 2: Convert to fraction form
    12,284/16,952.04 = 6,695.12/x
  3. Step 3: Cross multiply
    12,284x = 16,952.04 × 6,695.12
  4. Step 4: Simplify right side
    12,284x = 113,495,942.04
  5. Step 5: Solve for x
    x = 113,495,942.04/12,284
  6. Step 6: Final answer
    x = 9,239.33

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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.