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Finding the Fourth Proportional to 7,013.03, 9,677.76 and 3,826.39

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Solution

The fourth proportional to 7,013.03, 9,677.76 and 3,826.39 is: 5,280.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,013.03 : 9,677.76 = 3,826.39 : x
  2. Step 2: Convert to fraction form
    7,013.03/9,677.76 = 3,826.39/x
  3. Step 3: Cross multiply
    7,013.03x = 9,677.76 × 3,826.39
  4. Step 4: Simplify right side
    7,013.03x = 37,030,884.09
  5. Step 5: Solve for x
    x = 37,030,884.09/7,013.03
  6. Step 6: Final answer
    x = 5,280.30

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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.