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Finding the Fourth Proportional to 7,214.77, 9,950.10 and 5,086.54

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Solution

The fourth proportional to 7,214.77, 9,950.10 and 5,086.54 is: 7,015.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,214.77 : 9,950.10 = 5,086.54 : x
  2. Step 2: Convert to fraction form
    7,214.77/9,950.10 = 5,086.54/x
  3. Step 3: Cross multiply
    7,214.77x = 9,950.10 × 5,086.54
  4. Step 4: Simplify right side
    7,214.77x = 50,611,556.22
  5. Step 5: Solve for x
    x = 50,611,556.22/7,214.77
  6. Step 6: Final answer
    x = 7,015.00

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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.