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Finding the Fourth Proportional to 9,566.70, 14,355.64 and 4,019.64

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Solution

The fourth proportional to 9,566.70, 14,355.64 and 4,019.64 is: 6,031.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,566.70 : 14,355.64 = 4,019.64 : x
  2. Step 2: Convert to fraction form
    9,566.70/14,355.64 = 4,019.64/x
  3. Step 3: Cross multiply
    9,566.70x = 14,355.64 × 4,019.64
  4. Step 4: Simplify right side
    9,566.70x = 57,704,504.77
  5. Step 5: Solve for x
    x = 57,704,504.77/9,566.70
  6. Step 6: Final answer
    x = 6,031.81

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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.