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Finding the Fourth Proportional to 16,624.25, 22,941.47 and 9,172.25

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Solution

The fourth proportional to 16,624.25, 22,941.47 and 9,172.25 is: 12,657.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,624.25 : 22,941.47 = 9,172.25 : x
  2. Step 2: Convert to fraction form
    16,624.25/22,941.47 = 9,172.25/x
  3. Step 3: Cross multiply
    16,624.25x = 22,941.47 × 9,172.25
  4. Step 4: Simplify right side
    16,624.25x = 210,424,852.35
  5. Step 5: Solve for x
    x = 210,424,852.35/16,624.25
  6. Step 6: Final answer
    x = 12,657.71

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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.