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Finding the Fourth Proportional to 7,349.76, 10,113.03 and 7,174.80

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Solution

The fourth proportional to 7,349.76, 10,113.03 and 7,174.80 is: 9,872.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,349.76 : 10,113.03 = 7,174.80 : x
  2. Step 2: Convert to fraction form
    7,349.76/10,113.03 = 7,174.80/x
  3. Step 3: Cross multiply
    7,349.76x = 10,113.03 × 7,174.80
  4. Step 4: Simplify right side
    7,349.76x = 72,558,967.64
  5. Step 5: Solve for x
    x = 72,558,967.64/7,349.76
  6. Step 6: Final answer
    x = 9,872.29

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Half 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.