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Finding the Fourth Proportional to 6,907.32, 9,532.53 and 4,076.37

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Solution

The fourth proportional to 6,907.32, 9,532.53 and 4,076.37 is: 5,625.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,907.32 : 9,532.53 = 4,076.37 : x
  2. Step 2: Convert to fraction form
    6,907.32/9,532.53 = 4,076.37/x
  3. Step 3: Cross multiply
    6,907.32x = 9,532.53 × 4,076.37
  4. Step 4: Simplify right side
    6,907.32x = 38,858,119.32
  5. Step 5: Solve for x
    x = 38,858,119.32/6,907.32
  6. Step 6: Final answer
    x = 5,625.64

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1.5x scale

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.