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Finding the Fourth Proportional to 12,295.68, 16,967.96 and 6,706.68

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Solution

The fourth proportional to 12,295.68, 16,967.96 and 6,706.68 is: 9,255.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,295.68 : 16,967.96 = 6,706.68 : x
  2. Step 2: Convert to fraction form
    12,295.68/16,967.96 = 6,706.68/x
  3. Step 3: Cross multiply
    12,295.68x = 16,967.96 × 6,706.68
  4. Step 4: Simplify right side
    12,295.68x = 113,798,677.97
  5. Step 5: Solve for x
    x = 113,798,677.97/12,295.68
  6. Step 6: Final answer
    x = 9,255.18

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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.