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Finding the Fourth Proportional to 17,603.84, 24,292.88 and 9,645.68

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Solution

The fourth proportional to 17,603.84, 24,292.88 and 9,645.68 is: 13,310.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,603.84 : 24,292.88 = 9,645.68 : x
  2. Step 2: Convert to fraction form
    17,603.84/24,292.88 = 9,645.68/x
  3. Step 3: Cross multiply
    17,603.84x = 24,292.88 × 9,645.68
  4. Step 4: Simplify right side
    17,603.84x = 234,321,346.76
  5. Step 5: Solve for x
    x = 234,321,346.76/17,603.84
  6. Step 6: Final answer
    x = 13,310.81

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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.