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Finding the Fourth Proportional to 14,793.75, 20,415.48 and 8,506.17

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Solution

The fourth proportional to 14,793.75, 20,415.48 and 8,506.17 is: 11,738.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,793.75 : 20,415.48 = 8,506.17 : x
  2. Step 2: Convert to fraction form
    14,793.75/20,415.48 = 8,506.17/x
  3. Step 3: Cross multiply
    14,793.75x = 20,415.48 × 8,506.17
  4. Step 4: Simplify right side
    14,793.75x = 173,657,543.51
  5. Step 5: Solve for x
    x = 173,657,543.51/14,793.75
  6. Step 6: Final answer
    x = 11,738.57

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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.