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Finding the Fourth Proportional to 12,289.22, 16,959.16 and 6,700.22

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Solution

The fourth proportional to 12,289.22, 16,959.16 and 6,700.22 is: 9,246.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,289.22 : 16,959.16 = 6,700.22 : x
  2. Step 2: Convert to fraction form
    12,289.22/16,959.16 = 6,700.22/x
  3. Step 3: Cross multiply
    12,289.22x = 16,959.16 × 6,700.22
  4. Step 4: Simplify right side
    12,289.22x = 113,630,103.02
  5. Step 5: Solve for x
    x = 113,630,103.02/12,289.22
  6. Step 6: Final answer
    x = 9,246.32

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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.