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Finding the Fourth Proportional to 12,295.44, 16,966.44 and 6,989.22

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Solution

The fourth proportional to 12,295.44, 16,966.44 and 6,989.22 is: 9,644.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,295.44 : 16,966.44 = 6,989.22 : x
  2. Step 2: Convert to fraction form
    12,295.44/16,966.44 = 6,989.22/x
  3. Step 3: Cross multiply
    12,295.44x = 16,966.44 × 6,989.22
  4. Step 4: Simplify right side
    12,295.44x = 118,582,181.78
  5. Step 5: Solve for x
    x = 118,582,181.78/12,295.44
  6. Step 6: Final answer
    x = 9,644.40

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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.