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Finding the Fourth Proportional to 6,389.94, 9,584.19 and 1,710.44

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Solution

The fourth proportional to 6,389.94, 9,584.19 and 1,710.44 is: 2,565.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,389.94 : 9,584.19 = 1,710.44 : x
  2. Step 2: Convert to fraction form
    6,389.94/9,584.19 = 1,710.44/x
  3. Step 3: Cross multiply
    6,389.94x = 9,584.19 × 1,710.44
  4. Step 4: Simplify right side
    6,389.94x = 16,393,181.94
  5. Step 5: Solve for x
    x = 16,393,181.94/6,389.94
  6. Step 6: Final answer
    x = 2,565.47

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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.