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Finding the Fourth Proportional to 14,641.53, 20,205.65 and 8,270.17

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Solution

The fourth proportional to 14,641.53, 20,205.65 and 8,270.17 is: 11,413.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,641.53 : 20,205.65 = 8,270.17 : x
  2. Step 2: Convert to fraction form
    14,641.53/20,205.65 = 8,270.17/x
  3. Step 3: Cross multiply
    14,641.53x = 20,205.65 × 8,270.17
  4. Step 4: Simplify right side
    14,641.53x = 167,104,018.08
  5. Step 5: Solve for x
    x = 167,104,018.08/14,641.53
  6. Step 6: Final answer
    x = 11,413.02

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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.