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Finding the Fourth Proportional to 6,444.99, 9,669.30 and 2,497.44

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Solution

The fourth proportional to 6,444.99, 9,669.30 and 2,497.44 is: 3,746.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,444.99 : 9,669.30 = 2,497.44 : x
  2. Step 2: Convert to fraction form
    6,444.99/9,669.30 = 2,497.44/x
  3. Step 3: Cross multiply
    6,444.99x = 9,669.30 × 2,497.44
  4. Step 4: Simplify right side
    6,444.99x = 24,148,496.59
  5. Step 5: Solve for x
    x = 24,148,496.59/6,444.99
  6. Step 6: Final answer
    x = 3,746.86

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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.