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Finding the Fourth Proportional to 7,099.01, 9,784.63 and 4,857.02

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Solution

The fourth proportional to 7,099.01, 9,784.63 and 4,857.02 is: 6,694.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,099.01 : 9,784.63 = 4,857.02 : x
  2. Step 2: Convert to fraction form
    7,099.01/9,784.63 = 4,857.02/x
  3. Step 3: Cross multiply
    7,099.01x = 9,784.63 × 4,857.02
  4. Step 4: Simplify right side
    7,099.01x = 47,524,143.60
  5. Step 5: Solve for x
    x = 47,524,143.60/7,099.01
  6. Step 6: Final answer
    x = 6,694.47

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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.