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Finding the Fourth Proportional to 6,938.06, 9,574.53 and 4,458.38

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Solution

The fourth proportional to 6,938.06, 9,574.53 and 4,458.38 is: 6,152.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,938.06 : 9,574.53 = 4,458.38 : x
  2. Step 2: Convert to fraction form
    6,938.06/9,574.53 = 4,458.38/x
  3. Step 3: Cross multiply
    6,938.06x = 9,574.53 × 4,458.38
  4. Step 4: Simplify right side
    6,938.06x = 42,686,893.06
  5. Step 5: Solve for x
    x = 42,686,893.06/6,938.06
  6. Step 6: Final answer
    x = 6,152.57

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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.