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Finding the Fourth Proportional to 14,097.62, 19,453.88 and 7,722.94

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Solution

The fourth proportional to 14,097.62, 19,453.88 and 7,722.94 is: 10,657.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,097.62 : 19,453.88 = 7,722.94 : x
  2. Step 2: Convert to fraction form
    14,097.62/19,453.88 = 7,722.94/x
  3. Step 3: Cross multiply
    14,097.62x = 19,453.88 × 7,722.94
  4. Step 4: Simplify right side
    14,097.62x = 150,241,148.01
  5. Step 5: Solve for x
    x = 150,241,148.01/14,097.62
  6. Step 6: Final answer
    x = 10,657.20

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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.