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Finding the Fourth Proportional to 6,410.67, 9,590.72 and 4,855.17

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Solution

The fourth proportional to 6,410.67, 9,590.72 and 4,855.17 is: 7,263.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,410.67 : 9,590.72 = 4,855.17 : x
  2. Step 2: Convert to fraction form
    6,410.67/9,590.72 = 4,855.17/x
  3. Step 3: Cross multiply
    6,410.67x = 9,590.72 × 4,855.17
  4. Step 4: Simplify right side
    6,410.67x = 46,564,515.78
  5. Step 5: Solve for x
    x = 46,564,515.78/6,410.67
  6. Step 6: Final answer
    x = 7,263.60

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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.