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Finding the Fourth Proportional to 7,093.64, 9,784.14 and 5,205.80

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Solution

The fourth proportional to 7,093.64, 9,784.14 and 5,205.80 is: 7,180.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,093.64 : 9,784.14 = 5,205.80 : x
  2. Step 2: Convert to fraction form
    7,093.64/9,784.14 = 5,205.80/x
  3. Step 3: Cross multiply
    7,093.64x = 9,784.14 × 5,205.80
  4. Step 4: Simplify right side
    7,093.64x = 50,934,276.01
  5. Step 5: Solve for x
    x = 50,934,276.01/7,093.64
  6. Step 6: Final answer
    x = 7,180.27

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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.