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Finding the Fourth Proportional to 7,007, 10,510.82 and 2,327.44

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Solution

The fourth proportional to 7,007, 10,510.82 and 2,327.44 is: 3,491.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,007 : 10,510.82 = 2,327.44 : x
  2. Step 2: Convert to fraction form
    7,007/10,510.82 = 2,327.44/x
  3. Step 3: Cross multiply
    7,007x = 10,510.82 × 2,327.44
  4. Step 4: Simplify right side
    7,007x = 24,463,302.90
  5. Step 5: Solve for x
    x = 24,463,302.90/7,007
  6. Step 6: Final answer
    x = 3,491.27

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