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Finding the Fourth Proportional to 16,628.06, 22,949.65 and 9,914.10

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Solution

The fourth proportional to 16,628.06, 22,949.65 and 9,914.10 is: 13,683.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,628.06 : 22,949.65 = 9,914.10 : x
  2. Step 2: Convert to fraction form
    16,628.06/22,949.65 = 9,914.10/x
  3. Step 3: Cross multiply
    16,628.06x = 22,949.65 × 9,914.10
  4. Step 4: Simplify right side
    16,628.06x = 227,525,125.07
  5. Step 5: Solve for x
    x = 227,525,125.07/16,628.06
  6. Step 6: Final answer
    x = 13,683.20

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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.