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Finding the Fourth Proportional to 12,822.96, 17,695.08 and 7,444.56

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Solution

The fourth proportional to 12,822.96, 17,695.08 and 7,444.56 is: 10,273.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,822.96 : 17,695.08 = 7,444.56 : x
  2. Step 2: Convert to fraction form
    12,822.96/17,695.08 = 7,444.56/x
  3. Step 3: Cross multiply
    12,822.96x = 17,695.08 × 7,444.56
  4. Step 4: Simplify right side
    12,822.96x = 131,732,084.76
  5. Step 5: Solve for x
    x = 131,732,084.76/12,822.96
  6. Step 6: Final answer
    x = 10,273.14

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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.