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Finding the Fourth Proportional to 9,879.85, 14,830.22 and 9,656.75

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Solution

The fourth proportional to 9,879.85, 14,830.22 and 9,656.75 is: 14,495.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,879.85 : 14,830.22 = 9,656.75 : x
  2. Step 2: Convert to fraction form
    9,879.85/14,830.22 = 9,656.75/x
  3. Step 3: Cross multiply
    9,879.85x = 14,830.22 × 9,656.75
  4. Step 4: Simplify right side
    9,879.85x = 143,211,726.99
  5. Step 5: Solve for x
    x = 143,211,726.99/9,879.85
  6. Step 6: Final answer
    x = 14,495.33

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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.