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Finding the Fourth Proportional to 7,821.77, 10,794.10 and 4,284.98

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Solution

The fourth proportional to 7,821.77, 10,794.10 and 4,284.98 is: 5,913.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,821.77 : 10,794.10 = 4,284.98 : x
  2. Step 2: Convert to fraction form
    7,821.77/10,794.10 = 4,284.98/x
  3. Step 3: Cross multiply
    7,821.77x = 10,794.10 × 4,284.98
  4. Step 4: Simplify right side
    7,821.77x = 46,252,502.62
  5. Step 5: Solve for x
    x = 46,252,502.62/7,821.77
  6. Step 6: Final answer
    x = 5,913.30

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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.