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Finding the Fourth Proportional to 14,641.24, 21,961.20 and 4,779.24

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Solution

The fourth proportional to 14,641.24, 21,961.20 and 4,779.24 is: 7,168.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,641.24 : 21,961.20 = 4,779.24 : x
  2. Step 2: Convert to fraction form
    14,641.24/21,961.20 = 4,779.24/x
  3. Step 3: Cross multiply
    14,641.24x = 21,961.20 × 4,779.24
  4. Step 4: Simplify right side
    14,641.24x = 104,957,845.49
  5. Step 5: Solve for x
    x = 104,957,845.49/14,641.24
  6. Step 6: Final answer
    x = 7,168.64

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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.