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Finding the Fourth Proportional to 7,083.29, 9,782.01 and 5,836.70

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Solution

The fourth proportional to 7,083.29, 9,782.01 and 5,836.70 is: 8,060.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,083.29 : 9,782.01 = 5,836.70 : x
  2. Step 2: Convert to fraction form
    7,083.29/9,782.01 = 5,836.70/x
  3. Step 3: Cross multiply
    7,083.29x = 9,782.01 × 5,836.70
  4. Step 4: Simplify right side
    7,083.29x = 57,094,608.86
  5. Step 5: Solve for x
    x = 57,094,608.86/7,083.29
  6. Step 6: Final answer
    x = 8,060.47

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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.