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Finding the Fourth Proportional to 12,175.11, 16,798.74 and 6,869.94

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Solution

The fourth proportional to 12,175.11, 16,798.74 and 6,869.94 is: 9,478.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,175.11 : 16,798.74 = 6,869.94 : x
  2. Step 2: Convert to fraction form
    12,175.11/16,798.74 = 6,869.94/x
  3. Step 3: Cross multiply
    12,175.11x = 16,798.74 × 6,869.94
  4. Step 4: Simplify right side
    12,175.11x = 115,406,333.01
  5. Step 5: Solve for x
    x = 115,406,333.01/12,175.11
  6. Step 6: Final answer
    x = 9,478.87

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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.