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Finding the Fourth Proportional to 12,295.08, 16,967.34 and 6,706.08

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Solution

The fourth proportional to 12,295.08, 16,967.34 and 6,706.08 is: 9,254.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,295.08 : 16,967.34 = 6,706.08 : x
  2. Step 2: Convert to fraction form
    12,295.08/16,967.34 = 6,706.08/x
  3. Step 3: Cross multiply
    12,295.08x = 16,967.34 × 6,706.08
  4. Step 4: Simplify right side
    12,295.08x = 113,784,339.43
  5. Step 5: Solve for x
    x = 113,784,339.43/12,295.08
  6. Step 6: Final answer
    x = 9,254.46

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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.