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Finding the Fourth Proportional to 7,160.28, 9,885.78 and 5,837.16

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Solution

The fourth proportional to 7,160.28, 9,885.78 and 5,837.16 is: 8,059.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,160.28 : 9,885.78 = 5,837.16 : x
  2. Step 2: Convert to fraction form
    7,160.28/9,885.78 = 5,837.16/x
  3. Step 3: Cross multiply
    7,160.28x = 9,885.78 × 5,837.16
  4. Step 4: Simplify right side
    7,160.28x = 57,704,879.58
  5. Step 5: Solve for x
    x = 57,704,879.58/7,160.28
  6. Step 6: Final answer
    x = 8,059.03

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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.