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Finding the Fourth Proportional to 7,847.52, 11,759.49 and 7,106.64

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Solution

The fourth proportional to 7,847.52, 11,759.49 and 7,106.64 is: 10,649.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,847.52 : 11,759.49 = 7,106.64 : x
  2. Step 2: Convert to fraction form
    7,847.52/11,759.49 = 7,106.64/x
  3. Step 3: Cross multiply
    7,847.52x = 11,759.49 × 7,106.64
  4. Step 4: Simplify right side
    7,847.52x = 83,570,462.01
  5. Step 5: Solve for x
    x = 83,570,462.01/7,847.52
  6. Step 6: Final answer
    x = 10,649.28

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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.