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Finding the Fourth Proportional to 23,574.39, 35,362.70 and 7,780.80

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Solution

The fourth proportional to 23,574.39, 35,362.70 and 7,780.80 is: 11,671.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,574.39 : 35,362.70 = 7,780.80 : x
  2. Step 2: Convert to fraction form
    23,574.39/35,362.70 = 7,780.80/x
  3. Step 3: Cross multiply
    23,574.39x = 35,362.70 × 7,780.80
  4. Step 4: Simplify right side
    23,574.39x = 275,150,057.26
  5. Step 5: Solve for x
    x = 275,150,057.26/23,574.39
  6. Step 6: Final answer
    x = 11,671.57

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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.