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Finding the Fourth Proportional to 6,907.58, 10,410 and 6,250.34

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Solution

The fourth proportional to 6,907.58, 10,410 and 6,250.34 is: 9,419.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,907.58 : 10,410 = 6,250.34 : x
  2. Step 2: Convert to fraction form
    6,907.58/10,410 = 6,250.34/x
  3. Step 3: Cross multiply
    6,907.58x = 10,410 × 6,250.34
  4. Step 4: Simplify right side
    6,907.58x = 65,066,039.40
  5. Step 5: Solve for x
    x = 65,066,039.40/6,907.58
  6. Step 6: Final answer
    x = 9,419.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.