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Finding the Fourth Proportional to 3,164.73, 4,726.07 and 3,130.38

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Solution

The fourth proportional to 3,164.73, 4,726.07 and 3,130.38 is: 4,674.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164.73 : 4,726.07 = 3,130.38 : x
  2. Step 2: Convert to fraction form
    3,164.73/4,726.07 = 3,130.38/x
  3. Step 3: Cross multiply
    3,164.73x = 4,726.07 × 3,130.38
  4. Step 4: Simplify right side
    3,164.73x = 14,794,379.35
  5. Step 5: Solve for x
    x = 14,794,379.35/3,164.73
  6. Step 6: Final answer
    x = 4,674.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.