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Finding the Fourth Proportional to 6,311.70, 8,647.05 and 6,075.24

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Solution

The fourth proportional to 6,311.70, 8,647.05 and 6,075.24 is: 8,323.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,311.70 : 8,647.05 = 6,075.24 : x
  2. Step 2: Convert to fraction form
    6,311.70/8,647.05 = 6,075.24/x
  3. Step 3: Cross multiply
    6,311.70x = 8,647.05 × 6,075.24
  4. Step 4: Simplify right side
    6,311.70x = 52,532,904.04
  5. Step 5: Solve for x
    x = 52,532,904.04/6,311.70
  6. Step 6: Final answer
    x = 8,323.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.