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Finding the Fourth Proportional to 9,377.70, 14,069.37 and 2,804.10

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Solution

The fourth proportional to 9,377.70, 14,069.37 and 2,804.10 is: 4,206.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,377.70 : 14,069.37 = 2,804.10 : x
  2. Step 2: Convert to fraction form
    9,377.70/14,069.37 = 2,804.10/x
  3. Step 3: Cross multiply
    9,377.70x = 14,069.37 × 2,804.10
  4. Step 4: Simplify right side
    9,377.70x = 39,451,920.42
  5. Step 5: Solve for x
    x = 39,451,920.42/9,377.70
  6. Step 6: Final answer
    x = 4,206.99

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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.