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Finding the Fourth Proportional to 6,938.04, 9,577.80 and 4,287

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Solution

The fourth proportional to 6,938.04, 9,577.80 and 4,287 is: 5,918.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,938.04 : 9,577.80 = 4,287 : x
  2. Step 2: Convert to fraction form
    6,938.04/9,577.80 = 4,287/x
  3. Step 3: Cross multiply
    6,938.04x = 9,577.80 × 4,287
  4. Step 4: Simplify right side
    6,938.04x = 41,060,028.60
  5. Step 5: Solve for x
    x = 41,060,028.60/6,938.04
  6. Step 6: Final answer
    x = 5,918.10

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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.