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Finding the Fourth Proportional to 7,833.80, 10,811.14 and 4,297.02

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Solution

The fourth proportional to 7,833.80, 10,811.14 and 4,297.02 is: 5,930.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,833.80 : 10,811.14 = 4,297.02 : x
  2. Step 2: Convert to fraction form
    7,833.80/10,811.14 = 4,297.02/x
  3. Step 3: Cross multiply
    7,833.80x = 10,811.14 × 4,297.02
  4. Step 4: Simplify right side
    7,833.80x = 46,455,633.52
  5. Step 5: Solve for x
    x = 46,455,633.52/7,833.80
  6. Step 6: Final answer
    x = 5,930.15

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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.