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Finding the Fourth Proportional to 14,283, 19,709.46 and 8,314.92

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Solution

The fourth proportional to 14,283, 19,709.46 and 8,314.92 is: 11,473.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,283 : 19,709.46 = 8,314.92 : x
  2. Step 2: Convert to fraction form
    14,283/19,709.46 = 8,314.92/x
  3. Step 3: Cross multiply
    14,283x = 19,709.46 × 8,314.92
  4. Step 4: Simplify right side
    14,283x = 163,882,583.14
  5. Step 5: Solve for x
    x = 163,882,583.14/14,283
  6. Step 6: Final answer
    x = 11,473.96

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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.