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Finding the Fourth Proportional to 6,404.63, 9,600.37 and 4,645.25

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Solution

The fourth proportional to 6,404.63, 9,600.37 and 4,645.25 is: 6,963.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,404.63 : 9,600.37 = 4,645.25 : x
  2. Step 2: Convert to fraction form
    6,404.63/9,600.37 = 4,645.25/x
  3. Step 3: Cross multiply
    6,404.63x = 9,600.37 × 4,645.25
  4. Step 4: Simplify right side
    6,404.63x = 44,596,118.74
  5. Step 5: Solve for x
    x = 44,596,118.74/6,404.63
  6. Step 6: Final answer
    x = 6,963.11

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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.