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Finding the Fourth Proportional to 29,864.92, 44,797.86 and 7,677.80

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Solution

The fourth proportional to 29,864.92, 44,797.86 and 7,677.80 is: 11,516.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,864.92 : 44,797.86 = 7,677.80 : x
  2. Step 2: Convert to fraction form
    29,864.92/44,797.86 = 7,677.80/x
  3. Step 3: Cross multiply
    29,864.92x = 44,797.86 × 7,677.80
  4. Step 4: Simplify right side
    29,864.92x = 343,949,009.51
  5. Step 5: Solve for x
    x = 343,949,009.51/29,864.92
  6. Step 6: Final answer
    x = 11,516.82

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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.