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Finding the Fourth Proportional to 16,765.98, 23,137.35 and 9,213

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Solution

The fourth proportional to 16,765.98, 23,137.35 and 9,213 is: 12,714.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,765.98 : 23,137.35 = 9,213 : x
  2. Step 2: Convert to fraction form
    16,765.98/23,137.35 = 9,213/x
  3. Step 3: Cross multiply
    16,765.98x = 23,137.35 × 9,213
  4. Step 4: Simplify right side
    16,765.98x = 213,164,405.55
  5. Step 5: Solve for x
    x = 213,164,405.55/16,765.98
  6. Step 6: Final answer
    x = 12,714.10

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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.