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Finding the Fourth Proportional to 9,697.19, 14,558.10 and 8,245.57

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Solution

The fourth proportional to 9,697.19, 14,558.10 and 8,245.57 is: 12,378.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,697.19 : 14,558.10 = 8,245.57 : x
  2. Step 2: Convert to fraction form
    9,697.19/14,558.10 = 8,245.57/x
  3. Step 3: Cross multiply
    9,697.19x = 14,558.10 × 8,245.57
  4. Step 4: Simplify right side
    9,697.19x = 120,039,903.11
  5. Step 5: Solve for x
    x = 120,039,903.11/9,697.19
  6. Step 6: Final answer
    x = 12,378.83

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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.