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Finding the Fourth Proportional to 7,819, 10,790.50 and 4,282.24

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Solution

The fourth proportional to 7,819, 10,790.50 and 4,282.24 is: 5,909.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,819 : 10,790.50 = 4,282.24 : x
  2. Step 2: Convert to fraction form
    7,819/10,790.50 = 4,282.24/x
  3. Step 3: Cross multiply
    7,819x = 10,790.50 × 4,282.24
  4. Step 4: Simplify right side
    7,819x = 46,207,510.72
  5. Step 5: Solve for x
    x = 46,207,510.72/7,819
  6. Step 6: Final answer
    x = 5,909.64

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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.