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Finding the Fourth Proportional to 12,354.84, 17,049.42 and 7,573.14

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Solution

The fourth proportional to 12,354.84, 17,049.42 and 7,573.14 is: 10,450.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,354.84 : 17,049.42 = 7,573.14 : x
  2. Step 2: Convert to fraction form
    12,354.84/17,049.42 = 7,573.14/x
  3. Step 3: Cross multiply
    12,354.84x = 17,049.42 × 7,573.14
  4. Step 4: Simplify right side
    12,354.84x = 129,117,644.58
  5. Step 5: Solve for x
    x = 129,117,644.58/12,354.84
  6. Step 6: Final answer
    x = 10,450.77

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Half scale
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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.