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Finding the Fourth Proportional to 16,851, 23,252.22 and 9,774.84

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Solution

The fourth proportional to 16,851, 23,252.22 and 9,774.84 is: 13,488.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,851 : 23,252.22 = 9,774.84 : x
  2. Step 2: Convert to fraction form
    16,851/23,252.22 = 9,774.84/x
  3. Step 3: Cross multiply
    16,851x = 23,252.22 × 9,774.84
  4. Step 4: Simplify right side
    16,851x = 227,286,730.14
  5. Step 5: Solve for x
    x = 227,286,730.14/16,851
  6. Step 6: Final answer
    x = 13,488.03

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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.