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Finding the Fourth Proportional to 12,184.56, 16,814.49 and 6,807.08

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Solution

The fourth proportional to 12,184.56, 16,814.49 and 6,807.08 is: 9,393.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,184.56 : 16,814.49 = 6,807.08 : x
  2. Step 2: Convert to fraction form
    12,184.56/16,814.49 = 6,807.08/x
  3. Step 3: Cross multiply
    12,184.56x = 16,814.49 × 6,807.08
  4. Step 4: Simplify right side
    12,184.56x = 114,457,620.63
  5. Step 5: Solve for x
    x = 114,457,620.63/12,184.56
  6. Step 6: Final answer
    x = 9,393.66

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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.