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Finding the Fourth Proportional to 12,196.95, 16,829.93 and 6,889.83

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Solution

The fourth proportional to 12,196.95, 16,829.93 and 6,889.83 is: 9,506.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,196.95 : 16,829.93 = 6,889.83 : x
  2. Step 2: Convert to fraction form
    12,196.95/16,829.93 = 6,889.83/x
  3. Step 3: Cross multiply
    12,196.95x = 16,829.93 × 6,889.83
  4. Step 4: Simplify right side
    12,196.95x = 115,955,271.97
  5. Step 5: Solve for x
    x = 115,955,271.97/12,196.95
  6. Step 6: Final answer
    x = 9,506.91

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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.