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Finding the Fourth Proportional to 7,837.77, 10,816.02 and 4,300.98

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Solution

The fourth proportional to 7,837.77, 10,816.02 and 4,300.98 is: 5,935.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,837.77 : 10,816.02 = 4,300.98 : x
  2. Step 2: Convert to fraction form
    7,837.77/10,816.02 = 4,300.98/x
  3. Step 3: Cross multiply
    7,837.77x = 10,816.02 × 4,300.98
  4. Step 4: Simplify right side
    7,837.77x = 46,519,485.70
  5. Step 5: Solve for x
    x = 46,519,485.70/7,837.77
  6. Step 6: Final answer
    x = 5,935.30

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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.