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Finding the Fourth Proportional to 12,312.71, 18,474.83 and 6,069.32

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Solution

The fourth proportional to 12,312.71, 18,474.83 and 6,069.32 is: 9,106.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,312.71 : 18,474.83 = 6,069.32 : x
  2. Step 2: Convert to fraction form
    12,312.71/18,474.83 = 6,069.32/x
  3. Step 3: Cross multiply
    12,312.71x = 18,474.83 × 6,069.32
  4. Step 4: Simplify right side
    12,312.71x = 112,129,624.54
  5. Step 5: Solve for x
    x = 112,129,624.54/12,312.71
  6. Step 6: Final answer
    x = 9,106.82

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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.