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Finding the Fourth Proportional to 18,305.76, 27,448.80 and 5,822.40

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Solution

The fourth proportional to 18,305.76, 27,448.80 and 5,822.40 is: 8,730.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,305.76 : 27,448.80 = 5,822.40 : x
  2. Step 2: Convert to fraction form
    18,305.76/27,448.80 = 5,822.40/x
  3. Step 3: Cross multiply
    18,305.76x = 27,448.80 × 5,822.40
  4. Step 4: Simplify right side
    18,305.76x = 159,817,893.12
  5. Step 5: Solve for x
    x = 159,817,893.12/18,305.76
  6. Step 6: Final answer
    x = 8,730.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.