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Finding the Fourth Proportional to 7,814.44, 11,749.76 and 7,205.60

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Solution

The fourth proportional to 7,814.44, 11,749.76 and 7,205.60 is: 10,834.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,814.44 : 11,749.76 = 7,205.60 : x
  2. Step 2: Convert to fraction form
    7,814.44/11,749.76 = 7,205.60/x
  3. Step 3: Cross multiply
    7,814.44x = 11,749.76 × 7,205.60
  4. Step 4: Simplify right side
    7,814.44x = 84,664,070.66
  5. Step 5: Solve for x
    x = 84,664,070.66/7,814.44
  6. Step 6: Final answer
    x = 10,834.31

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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.