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Finding the Fourth Proportional to 7,334.76, 10,122 and 4,192.76

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Solution

The fourth proportional to 7,334.76, 10,122 and 4,192.76 is: 5,786.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,334.76 : 10,122 = 4,192.76 : x
  2. Step 2: Convert to fraction form
    7,334.76/10,122 = 4,192.76/x
  3. Step 3: Cross multiply
    7,334.76x = 10,122 × 4,192.76
  4. Step 4: Simplify right side
    7,334.76x = 42,439,116.72
  5. Step 5: Solve for x
    x = 42,439,116.72/7,334.76
  6. Step 6: Final answer
    x = 5,786.03

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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.