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Finding the Fourth Proportional to 12,284.76, 16,952.99 and 6,981.29

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Solution

The fourth proportional to 12,284.76, 16,952.99 and 6,981.29 is: 9,634.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,284.76 : 16,952.99 = 6,981.29 : x
  2. Step 2: Convert to fraction form
    12,284.76/16,952.99 = 6,981.29/x
  3. Step 3: Cross multiply
    12,284.76x = 16,952.99 × 6,981.29
  4. Step 4: Simplify right side
    12,284.76x = 118,353,739.56
  5. Step 5: Solve for x
    x = 118,353,739.56/12,284.76
  6. Step 6: Final answer
    x = 9,634.19

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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.