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Finding the Fourth Proportional to 6,316.95, 9,474.79 and 1,934.44

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Solution

The fourth proportional to 6,316.95, 9,474.79 and 1,934.44 is: 2,901.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,316.95 : 9,474.79 = 1,934.44 : x
  2. Step 2: Convert to fraction form
    6,316.95/9,474.79 = 1,934.44/x
  3. Step 3: Cross multiply
    6,316.95x = 9,474.79 × 1,934.44
  4. Step 4: Simplify right side
    6,316.95x = 18,328,412.77
  5. Step 5: Solve for x
    x = 18,328,412.77/6,316.95
  6. Step 6: Final answer
    x = 2,901.47

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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.