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Finding the Fourth Proportional to 12,474.12, 17,214.06 and 6,885

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Solution

The fourth proportional to 12,474.12, 17,214.06 and 6,885 is: 9,501.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,474.12 : 17,214.06 = 6,885 : x
  2. Step 2: Convert to fraction form
    12,474.12/17,214.06 = 6,885/x
  3. Step 3: Cross multiply
    12,474.12x = 17,214.06 × 6,885
  4. Step 4: Simplify right side
    12,474.12x = 118,518,803.10
  5. Step 5: Solve for x
    x = 118,518,803.10/12,474.12
  6. Step 6: Final answer
    x = 9,501.18

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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.