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Finding the Fourth Proportional to 12,295.39, 16,967.59 and 6,706.39

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Solution

The fourth proportional to 12,295.39, 16,967.59 and 6,706.39 is: 9,254.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,295.39 : 16,967.59 = 6,706.39 : x
  2. Step 2: Convert to fraction form
    12,295.39/16,967.59 = 6,706.39/x
  3. Step 3: Cross multiply
    12,295.39x = 16,967.59 × 6,706.39
  4. Step 4: Simplify right side
    12,295.39x = 113,791,275.90
  5. Step 5: Solve for x
    x = 113,791,275.90/12,295.39
  6. Step 6: Final answer
    x = 9,254.79

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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.