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Finding the Fourth Proportional to 9,590.25, 14,391.90 and 3,434.25

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Solution

The fourth proportional to 9,590.25, 14,391.90 and 3,434.25 is: 5,153.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,590.25 : 14,391.90 = 3,434.25 : x
  2. Step 2: Convert to fraction form
    9,590.25/14,391.90 = 3,434.25/x
  3. Step 3: Cross multiply
    9,590.25x = 14,391.90 × 3,434.25
  4. Step 4: Simplify right side
    9,590.25x = 49,425,382.58
  5. Step 5: Solve for x
    x = 49,425,382.58/9,590.25
  6. Step 6: Final answer
    x = 5,153.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.