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Finding the Fourth Proportional to 9,467, 13,059.49 and 7,224.97

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Solution

The fourth proportional to 9,467, 13,059.49 and 7,224.97 is: 9,966.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,467 : 13,059.49 = 7,224.97 : x
  2. Step 2: Convert to fraction form
    9,467/13,059.49 = 7,224.97/x
  3. Step 3: Cross multiply
    9,467x = 13,059.49 × 7,224.97
  4. Step 4: Simplify right side
    9,467x = 94,354,423.47
  5. Step 5: Solve for x
    x = 94,354,423.47/9,467
  6. Step 6: Final answer
    x = 9,966.67

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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.