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Finding the Fourth Proportional to 7,049.54, 10,574.40 and 1,855.46

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Solution

The fourth proportional to 7,049.54, 10,574.40 and 1,855.46 is: 2,783.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,049.54 : 10,574.40 = 1,855.46 : x
  2. Step 2: Convert to fraction form
    7,049.54/10,574.40 = 1,855.46/x
  3. Step 3: Cross multiply
    7,049.54x = 10,574.40 × 1,855.46
  4. Step 4: Simplify right side
    7,049.54x = 19,620,376.22
  5. Step 5: Solve for x
    x = 19,620,376.22/7,049.54
  6. Step 6: Final answer
    x = 2,783.21

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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.