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Finding the Fourth Proportional to 11,952.12, 16,495.26 and 6,848.12

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Solution

The fourth proportional to 11,952.12, 16,495.26 and 6,848.12 is: 9,451.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,952.12 : 16,495.26 = 6,848.12 : x
  2. Step 2: Convert to fraction form
    11,952.12/16,495.26 = 6,848.12/x
  3. Step 3: Cross multiply
    11,952.12x = 16,495.26 × 6,848.12
  4. Step 4: Simplify right side
    11,952.12x = 112,961,519.91
  5. Step 5: Solve for x
    x = 112,961,519.91/11,952.12
  6. Step 6: Final answer
    x = 9,451.17

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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.