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Finding the Fourth Proportional to 7,807.80, 10,774.67 and 4,270.97

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Solution

The fourth proportional to 7,807.80, 10,774.67 and 4,270.97 is: 5,893.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,807.80 : 10,774.67 = 4,270.97 : x
  2. Step 2: Convert to fraction form
    7,807.80/10,774.67 = 4,270.97/x
  3. Step 3: Cross multiply
    7,807.80x = 10,774.67 × 4,270.97
  4. Step 4: Simplify right side
    7,807.80x = 46,018,329.94
  5. Step 5: Solve for x
    x = 46,018,329.94/7,807.80
  6. Step 6: Final answer
    x = 5,893.89

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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.