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Finding the Fourth Proportional to 7,197.36, 9,933.84 and 4,214.76

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Solution

The fourth proportional to 7,197.36, 9,933.84 and 4,214.76 is: 5,817.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,197.36 : 9,933.84 = 4,214.76 : x
  2. Step 2: Convert to fraction form
    7,197.36/9,933.84 = 4,214.76/x
  3. Step 3: Cross multiply
    7,197.36x = 9,933.84 × 4,214.76
  4. Step 4: Simplify right side
    7,197.36x = 41,868,751.48
  5. Step 5: Solve for x
    x = 41,868,751.48/7,197.36
  6. Step 6: Final answer
    x = 5,817.24

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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.