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Finding the Fourth Proportional to 6,935.06, 9,570.39 and 4,455.38

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Solution

The fourth proportional to 6,935.06, 9,570.39 and 4,455.38 is: 6,148.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,935.06 : 9,570.39 = 4,455.38 : x
  2. Step 2: Convert to fraction form
    6,935.06/9,570.39 = 4,455.38/x
  3. Step 3: Cross multiply
    6,935.06x = 9,570.39 × 4,455.38
  4. Step 4: Simplify right side
    6,935.06x = 42,639,731.42
  5. Step 5: Solve for x
    x = 42,639,731.42/6,935.06
  6. Step 6: Final answer
    x = 6,148.43

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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.