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Finding the Fourth Proportional to 6,307.64, 8,704.13 and 3,788.25

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Solution

The fourth proportional to 6,307.64, 8,704.13 and 3,788.25 is: 5,227.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,307.64 : 8,704.13 = 3,788.25 : x
  2. Step 2: Convert to fraction form
    6,307.64/8,704.13 = 3,788.25/x
  3. Step 3: Cross multiply
    6,307.64x = 8,704.13 × 3,788.25
  4. Step 4: Simplify right side
    6,307.64x = 32,973,417.85
  5. Step 5: Solve for x
    x = 32,973,417.85/6,307.64
  6. Step 6: Final answer
    x = 5,227.54

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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.