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Finding the Fourth Proportional to 14,949.66, 20,628.98 and 9,206.19

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Solution

The fourth proportional to 14,949.66, 20,628.98 and 9,206.19 is: 12,703.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,949.66 : 20,628.98 = 9,206.19 : x
  2. Step 2: Convert to fraction form
    14,949.66/20,628.98 = 9,206.19/x
  3. Step 3: Cross multiply
    14,949.66x = 20,628.98 × 9,206.19
  4. Step 4: Simplify right side
    14,949.66x = 189,914,263.36
  5. Step 5: Solve for x
    x = 189,914,263.36/14,949.66
  6. Step 6: Final answer
    x = 12,703.58

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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.