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Finding the Fourth Proportional to 6,765.40, 10,148.10 and 4,907.80

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Solution

The fourth proportional to 6,765.40, 10,148.10 and 4,907.80 is: 7,361.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,765.40 : 10,148.10 = 4,907.80 : x
  2. Step 2: Convert to fraction form
    6,765.40/10,148.10 = 4,907.80/x
  3. Step 3: Cross multiply
    6,765.40x = 10,148.10 × 4,907.80
  4. Step 4: Simplify right side
    6,765.40x = 49,804,845.18
  5. Step 5: Solve for x
    x = 49,804,845.18/6,765.40
  6. Step 6: Final answer
    x = 7,361.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.