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Finding the Fourth Proportional to 11,794.50, 16,280.07 and 7,602.75

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Solution

The fourth proportional to 11,794.50, 16,280.07 and 7,602.75 is: 10,494.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,794.50 : 16,280.07 = 7,602.75 : x
  2. Step 2: Convert to fraction form
    11,794.50/16,280.07 = 7,602.75/x
  3. Step 3: Cross multiply
    11,794.50x = 16,280.07 × 7,602.75
  4. Step 4: Simplify right side
    11,794.50x = 123,773,302.19
  5. Step 5: Solve for x
    x = 123,773,302.19/11,794.50
  6. Step 6: Final answer
    x = 10,494.15

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Half scale
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Double 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.