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Finding the Fourth Proportional to 9,583.50, 13,226.42 and 5,950.24

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Solution

The fourth proportional to 9,583.50, 13,226.42 and 5,950.24 is: 8,212.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,583.50 : 13,226.42 = 5,950.24 : x
  2. Step 2: Convert to fraction form
    9,583.50/13,226.42 = 5,950.24/x
  3. Step 3: Cross multiply
    9,583.50x = 13,226.42 × 5,950.24
  4. Step 4: Simplify right side
    9,583.50x = 78,700,373.34
  5. Step 5: Solve for x
    x = 78,700,373.34/9,583.50
  6. Step 6: Final answer
    x = 8,212.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.