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Finding the Fourth Proportional to 14,415.90, 21,608.04 and 5,641.17

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Solution

The fourth proportional to 14,415.90, 21,608.04 and 5,641.17 is: 8,455.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,415.90 : 21,608.04 = 5,641.17 : x
  2. Step 2: Convert to fraction form
    14,415.90/21,608.04 = 5,641.17/x
  3. Step 3: Cross multiply
    14,415.90x = 21,608.04 × 5,641.17
  4. Step 4: Simplify right side
    14,415.90x = 121,894,627.01
  5. Step 5: Solve for x
    x = 121,894,627.01/14,415.90
  6. Step 6: Final answer
    x = 8,455.57

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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.