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Finding the Fourth Proportional to 12,689.16, 19,033.74 and 3,923.88

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Solution

The fourth proportional to 12,689.16, 19,033.74 and 3,923.88 is: 5,885.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,689.16 : 19,033.74 = 3,923.88 : x
  2. Step 2: Convert to fraction form
    12,689.16/19,033.74 = 3,923.88/x
  3. Step 3: Cross multiply
    12,689.16x = 19,033.74 × 3,923.88
  4. Step 4: Simplify right side
    12,689.16x = 74,686,111.71
  5. Step 5: Solve for x
    x = 74,686,111.71/12,689.16
  6. Step 6: Final answer
    x = 5,885.82

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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.