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Finding the Fourth Proportional to 12,228.54, 16,875.06 and 6,923.86

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Solution

The fourth proportional to 12,228.54, 16,875.06 and 6,923.86 is: 9,554.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,228.54 : 16,875.06 = 6,923.86 : x
  2. Step 2: Convert to fraction form
    12,228.54/16,875.06 = 6,923.86/x
  3. Step 3: Cross multiply
    12,228.54x = 16,875.06 × 6,923.86
  4. Step 4: Simplify right side
    12,228.54x = 116,840,552.93
  5. Step 5: Solve for x
    x = 116,840,552.93/12,228.54
  6. Step 6: Final answer
    x = 9,554.74

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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.