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Finding the Fourth Proportional to 12,474, 17,214.36 and 6,884.88

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Solution

The fourth proportional to 12,474, 17,214.36 and 6,884.88 is: 9,501.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,474 : 17,214.36 = 6,884.88 : x
  2. Step 2: Convert to fraction form
    12,474/17,214.36 = 6,884.88/x
  3. Step 3: Cross multiply
    12,474x = 17,214.36 × 6,884.88
  4. Step 4: Simplify right side
    12,474x = 118,518,802.88
  5. Step 5: Solve for x
    x = 118,518,802.88/12,474
  6. Step 6: Final answer
    x = 9,501.27

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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.