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Finding the Fourth Proportional to 12,956.31, 17,856.26 and 9,747.81

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Solution

The fourth proportional to 12,956.31, 17,856.26 and 9,747.81 is: 13,434.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,956.31 : 17,856.26 = 9,747.81 : x
  2. Step 2: Convert to fraction form
    12,956.31/17,856.26 = 9,747.81/x
  3. Step 3: Cross multiply
    12,956.31x = 17,856.26 × 9,747.81
  4. Step 4: Simplify right side
    12,956.31x = 174,059,417.61
  5. Step 5: Solve for x
    x = 174,059,417.61/12,956.31
  6. Step 6: Final answer
    x = 13,434.34

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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.