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Finding the Fourth Proportional to 9,597.84, 14,395.74 and 2,578.59

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Solution

The fourth proportional to 9,597.84, 14,395.74 and 2,578.59 is: 3,867.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,597.84 : 14,395.74 = 2,578.59 : x
  2. Step 2: Convert to fraction form
    9,597.84/14,395.74 = 2,578.59/x
  3. Step 3: Cross multiply
    9,597.84x = 14,395.74 × 2,578.59
  4. Step 4: Simplify right side
    9,597.84x = 37,120,711.21
  5. Step 5: Solve for x
    x = 37,120,711.21/9,597.84
  6. Step 6: Final answer
    x = 3,867.61

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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.