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Finding the Fourth Proportional to 7,835.81, 10,813.07 and 4,298.95

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Solution

The fourth proportional to 7,835.81, 10,813.07 and 4,298.95 is: 5,932.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,835.81 : 10,813.07 = 4,298.95 : x
  2. Step 2: Convert to fraction form
    7,835.81/10,813.07 = 4,298.95/x
  3. Step 3: Cross multiply
    7,835.81x = 10,813.07 × 4,298.95
  4. Step 4: Simplify right side
    7,835.81x = 46,484,847.28
  5. Step 5: Solve for x
    x = 46,484,847.28/7,835.81
  6. Step 6: Final answer
    x = 5,932.36

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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.