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Finding the Fourth Proportional to 12,477, 17,218.38 and 6,888.12

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Solution

The fourth proportional to 12,477, 17,218.38 and 6,888.12 is: 9,505.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,477 : 17,218.38 = 6,888.12 : x
  2. Step 2: Convert to fraction form
    12,477/17,218.38 = 6,888.12/x
  3. Step 3: Cross multiply
    12,477x = 17,218.38 × 6,888.12
  4. Step 4: Simplify right side
    12,477x = 118,602,267.65
  5. Step 5: Solve for x
    x = 118,602,267.65/12,477
  6. Step 6: Final answer
    x = 9,505.67

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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.