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Finding the Fourth Proportional to 12,161.70, 16,784.01 and 6,857.01

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Solution

The fourth proportional to 12,161.70, 16,784.01 and 6,857.01 is: 9,463.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,161.70 : 16,784.01 = 6,857.01 : x
  2. Step 2: Convert to fraction form
    12,161.70/16,784.01 = 6,857.01/x
  3. Step 3: Cross multiply
    12,161.70x = 16,784.01 × 6,857.01
  4. Step 4: Simplify right side
    12,161.70x = 115,088,124.41
  5. Step 5: Solve for x
    x = 115,088,124.41/12,161.70
  6. Step 6: Final answer
    x = 9,463.16

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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.