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Finding the Fourth Proportional to 9,946.64, 14,920.68 and 3,021.68

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Solution

The fourth proportional to 9,946.64, 14,920.68 and 3,021.68 is: 4,532.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,946.64 : 14,920.68 = 3,021.68 : x
  2. Step 2: Convert to fraction form
    9,946.64/14,920.68 = 3,021.68/x
  3. Step 3: Cross multiply
    9,946.64x = 14,920.68 × 3,021.68
  4. Step 4: Simplify right side
    9,946.64x = 45,085,520.34
  5. Step 5: Solve for x
    x = 45,085,520.34/9,946.64
  6. Step 6: Final answer
    x = 4,532.74

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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.