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Finding the Fourth Proportional to 6,564.52, 9,846.78 and 2,404.63

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Solution

The fourth proportional to 6,564.52, 9,846.78 and 2,404.63 is: 3,606.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,564.52 : 9,846.78 = 2,404.63 : x
  2. Step 2: Convert to fraction form
    6,564.52/9,846.78 = 2,404.63/x
  3. Step 3: Cross multiply
    6,564.52x = 9,846.78 × 2,404.63
  4. Step 4: Simplify right side
    6,564.52x = 23,677,862.59
  5. Step 5: Solve for x
    x = 23,677,862.59/6,564.52
  6. Step 6: Final answer
    x = 3,606.95

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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.