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Finding the Fourth Proportional to 16,627.77, 22,946.28 and 9,074.09

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Solution

The fourth proportional to 16,627.77, 22,946.28 and 9,074.09 is: 12,522.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,627.77 : 22,946.28 = 9,074.09 : x
  2. Step 2: Convert to fraction form
    16,627.77/22,946.28 = 9,074.09/x
  3. Step 3: Cross multiply
    16,627.77x = 22,946.28 × 9,074.09
  4. Step 4: Simplify right side
    16,627.77x = 208,216,495.15
  5. Step 5: Solve for x
    x = 208,216,495.15/16,627.77
  6. Step 6: Final answer
    x = 12,522.21

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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.