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Finding the Fourth Proportional to 7,807.05, 10,773.64 and 4,270.22

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Solution

The fourth proportional to 7,807.05, 10,773.64 and 4,270.22 is: 5,892.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,807.05 : 10,773.64 = 4,270.22 : x
  2. Step 2: Convert to fraction form
    7,807.05/10,773.64 = 4,270.22/x
  3. Step 3: Cross multiply
    7,807.05x = 10,773.64 × 4,270.22
  4. Step 4: Simplify right side
    7,807.05x = 46,005,804.87
  5. Step 5: Solve for x
    x = 46,005,804.87/7,807.05
  6. Step 6: Final answer
    x = 5,892.85

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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.