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Finding the Fourth Proportional to 6,277.95, 9,416.99 and 1,895.44

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Solution

The fourth proportional to 6,277.95, 9,416.99 and 1,895.44 is: 2,843.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,277.95 : 9,416.99 = 1,895.44 : x
  2. Step 2: Convert to fraction form
    6,277.95/9,416.99 = 1,895.44/x
  3. Step 3: Cross multiply
    6,277.95x = 9,416.99 × 1,895.44
  4. Step 4: Simplify right side
    6,277.95x = 17,849,339.53
  5. Step 5: Solve for x
    x = 17,849,339.53/6,277.95
  6. Step 6: Final answer
    x = 2,843.18

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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.