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Finding the Fourth Proportional to 16,275.75, 22,460.54 and 8,823.75

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Solution

The fourth proportional to 16,275.75, 22,460.54 and 8,823.75 is: 12,176.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,275.75 : 22,460.54 = 8,823.75 : x
  2. Step 2: Convert to fraction form
    16,275.75/22,460.54 = 8,823.75/x
  3. Step 3: Cross multiply
    16,275.75x = 22,460.54 × 8,823.75
  4. Step 4: Simplify right side
    16,275.75x = 198,186,145.71
  5. Step 5: Solve for x
    x = 198,186,145.71/16,275.75
  6. Step 6: Final answer
    x = 12,176.78

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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.