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Finding the Fourth Proportional to 12,473.04, 17,212.76 and 6,884

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Solution

The fourth proportional to 12,473.04, 17,212.76 and 6,884 is: 9,499.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,473.04 : 17,212.76 = 6,884 : x
  2. Step 2: Convert to fraction form
    12,473.04/17,212.76 = 6,884/x
  3. Step 3: Cross multiply
    12,473.04x = 17,212.76 × 6,884
  4. Step 4: Simplify right side
    12,473.04x = 118,492,639.84
  5. Step 5: Solve for x
    x = 118,492,639.84/12,473.04
  6. Step 6: Final answer
    x = 9,499.90

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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.