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Finding the Fourth Proportional to 12,303, 18,462.06 and 6,463.80

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Solution

The fourth proportional to 12,303, 18,462.06 and 6,463.80 is: 9,699.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,303 : 18,462.06 = 6,463.80 : x
  2. Step 2: Convert to fraction form
    12,303/18,462.06 = 6,463.80/x
  3. Step 3: Cross multiply
    12,303x = 18,462.06 × 6,463.80
  4. Step 4: Simplify right side
    12,303x = 119,335,063.43
  5. Step 5: Solve for x
    x = 119,335,063.43/12,303
  6. Step 6: Final answer
    x = 9,699.67

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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.