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Finding the Fourth Proportional to 7,807.42, 10,774.24 and 4,270.64

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Solution

The fourth proportional to 7,807.42, 10,774.24 and 4,270.64 is: 5,893.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,807.42 : 10,774.24 = 4,270.64 : x
  2. Step 2: Convert to fraction form
    7,807.42/10,774.24 = 4,270.64/x
  3. Step 3: Cross multiply
    7,807.42x = 10,774.24 × 4,270.64
  4. Step 4: Simplify right side
    7,807.42x = 46,012,900.31
  5. Step 5: Solve for x
    x = 46,012,900.31/7,807.42
  6. Step 6: Final answer
    x = 5,893.48

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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.