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Finding the Fourth Proportional to 15,314.46, 22,966.83 and 5,953.83

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Solution

The fourth proportional to 15,314.46, 22,966.83 and 5,953.83 is: 8,928.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,314.46 : 22,966.83 = 5,953.83 : x
  2. Step 2: Convert to fraction form
    15,314.46/22,966.83 = 5,953.83/x
  3. Step 3: Cross multiply
    15,314.46x = 22,966.83 × 5,953.83
  4. Step 4: Simplify right side
    15,314.46x = 136,740,601.46
  5. Step 5: Solve for x
    x = 136,740,601.46/15,314.46
  6. Step 6: Final answer
    x = 8,928.86

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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.