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Finding the Fourth Proportional to 12,297.52, 16,970.72 and 6,992.48

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Solution

The fourth proportional to 12,297.52, 16,970.72 and 6,992.48 is: 9,649.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,297.52 : 16,970.72 = 6,992.48 : x
  2. Step 2: Convert to fraction form
    12,297.52/16,970.72 = 6,992.48/x
  3. Step 3: Cross multiply
    12,297.52x = 16,970.72 × 6,992.48
  4. Step 4: Simplify right side
    12,297.52x = 118,667,420.19
  5. Step 5: Solve for x
    x = 118,667,420.19/12,297.52
  6. Step 6: Final answer
    x = 9,649.70

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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.