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Finding the Fourth Proportional to 6,311.34, 9,452.88 and 5,075.64

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Solution

The fourth proportional to 6,311.34, 9,452.88 and 5,075.64 is: 7,602.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,311.34 : 9,452.88 = 5,075.64 : x
  2. Step 2: Convert to fraction form
    6,311.34/9,452.88 = 5,075.64/x
  3. Step 3: Cross multiply
    6,311.34x = 9,452.88 × 5,075.64
  4. Step 4: Simplify right side
    6,311.34x = 47,979,415.84
  5. Step 5: Solve for x
    x = 47,979,415.84/6,311.34
  6. Step 6: Final answer
    x = 7,602.10

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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.