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Finding the Fourth Proportional to 12,437.73, 17,164.06 and 6,848.73

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Solution

The fourth proportional to 12,437.73, 17,164.06 and 6,848.73 is: 9,451.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,437.73 : 17,164.06 = 6,848.73 : x
  2. Step 2: Convert to fraction form
    12,437.73/17,164.06 = 6,848.73/x
  3. Step 3: Cross multiply
    12,437.73x = 17,164.06 × 6,848.73
  4. Step 4: Simplify right side
    12,437.73x = 117,551,995.52
  5. Step 5: Solve for x
    x = 117,551,995.52/12,437.73
  6. Step 6: Final answer
    x = 9,451.24

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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.