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Finding the Fourth Proportional to 7,072.79, 9,767.52 and 5,826.20

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Solution

The fourth proportional to 7,072.79, 9,767.52 and 5,826.20 is: 8,045.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,072.79 : 9,767.52 = 5,826.20 : x
  2. Step 2: Convert to fraction form
    7,072.79/9,767.52 = 5,826.20/x
  3. Step 3: Cross multiply
    7,072.79x = 9,767.52 × 5,826.20
  4. Step 4: Simplify right side
    7,072.79x = 56,907,476.19
  5. Step 5: Solve for x
    x = 56,907,476.19/7,072.79
  6. Step 6: Final answer
    x = 8,045.98

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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.