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Finding the Fourth Proportional to 7,283.78, 10,926.65 and 2,352.23

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Solution

The fourth proportional to 7,283.78, 10,926.65 and 2,352.23 is: 3,528.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,283.78 : 10,926.65 = 2,352.23 : x
  2. Step 2: Convert to fraction form
    7,283.78/10,926.65 = 2,352.23/x
  3. Step 3: Cross multiply
    7,283.78x = 10,926.65 × 2,352.23
  4. Step 4: Simplify right side
    7,283.78x = 25,701,993.93
  5. Step 5: Solve for x
    x = 25,701,993.93/7,283.78
  6. Step 6: Final answer
    x = 3,528.66

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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.