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Finding the Fourth Proportional to 9,503.73, 14,255.61 and 2,578.23

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Solution

The fourth proportional to 9,503.73, 14,255.61 and 2,578.23 is: 3,867.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,503.73 : 14,255.61 = 2,578.23 : x
  2. Step 2: Convert to fraction form
    9,503.73/14,255.61 = 2,578.23/x
  3. Step 3: Cross multiply
    9,503.73x = 14,255.61 × 2,578.23
  4. Step 4: Simplify right side
    9,503.73x = 36,754,241.37
  5. Step 5: Solve for x
    x = 36,754,241.37/9,503.73
  6. Step 6: Final answer
    x = 3,867.35

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.