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Finding the Fourth Proportional to 6,523.76, 9,797.98 and 4,075.74

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Solution

The fourth proportional to 6,523.76, 9,797.98 and 4,075.74 is: 6,121.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,523.76 : 9,797.98 = 4,075.74 : x
  2. Step 2: Convert to fraction form
    6,523.76/9,797.98 = 4,075.74/x
  3. Step 3: Cross multiply
    6,523.76x = 9,797.98 × 4,075.74
  4. Step 4: Simplify right side
    6,523.76x = 39,934,019.01
  5. Step 5: Solve for x
    x = 39,934,019.01/6,523.76
  6. Step 6: Final answer
    x = 6,121.32

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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.