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Finding the Fourth Proportional to 9,790.32, 14,686.02 and 3,946.26

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Solution

The fourth proportional to 9,790.32, 14,686.02 and 3,946.26 is: 5,919.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,790.32 : 14,686.02 = 3,946.26 : x
  2. Step 2: Convert to fraction form
    9,790.32/14,686.02 = 3,946.26/x
  3. Step 3: Cross multiply
    9,790.32x = 14,686.02 × 3,946.26
  4. Step 4: Simplify right side
    9,790.32x = 57,954,853.29
  5. Step 5: Solve for x
    x = 57,954,853.29/9,790.32
  6. Step 6: Final answer
    x = 5,919.61

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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.