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Finding the Fourth Proportional to 15,902.44, 21,946.02 and 8,828.86

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Solution

The fourth proportional to 15,902.44, 21,946.02 and 8,828.86 is: 12,184.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,902.44 : 21,946.02 = 8,828.86 : x
  2. Step 2: Convert to fraction form
    15,902.44/21,946.02 = 8,828.86/x
  3. Step 3: Cross multiply
    15,902.44x = 21,946.02 × 8,828.86
  4. Step 4: Simplify right side
    15,902.44x = 193,758,228.41
  5. Step 5: Solve for x
    x = 193,758,228.41/15,902.44
  6. Step 6: Final answer
    x = 12,184.19

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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.