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Finding the Fourth Proportional to 14,454.15, 19,949.26 and 8,406.26

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Solution

The fourth proportional to 14,454.15, 19,949.26 and 8,406.26 is: 11,602.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,454.15 : 19,949.26 = 8,406.26 : x
  2. Step 2: Convert to fraction form
    14,454.15/19,949.26 = 8,406.26/x
  3. Step 3: Cross multiply
    14,454.15x = 19,949.26 × 8,406.26
  4. Step 4: Simplify right side
    14,454.15x = 167,698,666.37
  5. Step 5: Solve for x
    x = 167,698,666.37/14,454.15
  6. Step 6: Final answer
    x = 11,602.11

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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.