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Finding the Fourth Proportional to 9,593.76, 13,245.12 and 6,938.40

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Solution

The fourth proportional to 9,593.76, 13,245.12 and 6,938.40 is: 9,579.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,593.76 : 13,245.12 = 6,938.40 : x
  2. Step 2: Convert to fraction form
    9,593.76/13,245.12 = 6,938.40/x
  3. Step 3: Cross multiply
    9,593.76x = 13,245.12 × 6,938.40
  4. Step 4: Simplify right side
    9,593.76x = 91,899,940.61
  5. Step 5: Solve for x
    x = 91,899,940.61/9,593.76
  6. Step 6: Final answer
    x = 9,579.14

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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 (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.