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Finding the Fourth Proportional to 6,564.40, 9,846.60 and 4,711.60

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Solution

The fourth proportional to 6,564.40, 9,846.60 and 4,711.60 is: 7,067.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,564.40 : 9,846.60 = 4,711.60 : x
  2. Step 2: Convert to fraction form
    6,564.40/9,846.60 = 4,711.60/x
  3. Step 3: Cross multiply
    6,564.40x = 9,846.60 × 4,711.60
  4. Step 4: Simplify right side
    6,564.40x = 46,393,240.56
  5. Step 5: Solve for x
    x = 46,393,240.56/6,564.40
  6. Step 6: Final answer
    x = 7,067.40

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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.