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Finding the Fourth Proportional to 9,970.62, 14,965.22 and 5,043.73

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Solution

The fourth proportional to 9,970.62, 14,965.22 and 5,043.73 is: 7,570.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,970.62 : 14,965.22 = 5,043.73 : x
  2. Step 2: Convert to fraction form
    9,970.62/14,965.22 = 5,043.73/x
  3. Step 3: Cross multiply
    9,970.62x = 14,965.22 × 5,043.73
  4. Step 4: Simplify right side
    9,970.62x = 75,480,529.07
  5. Step 5: Solve for x
    x = 75,480,529.07/9,970.62
  6. Step 6: Final answer
    x = 7,570.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.