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Finding the Fourth Proportional to 7,807, 10,773.66 and 4,270.24

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Solution

The fourth proportional to 7,807, 10,773.66 and 4,270.24 is: 5,892.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,807 : 10,773.66 = 4,270.24 : x
  2. Step 2: Convert to fraction form
    7,807/10,773.66 = 4,270.24/x
  3. Step 3: Cross multiply
    7,807x = 10,773.66 × 4,270.24
  4. Step 4: Simplify right side
    7,807x = 46,006,113.88
  5. Step 5: Solve for x
    x = 46,006,113.88/7,807
  6. Step 6: Final answer
    x = 5,892.93

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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.