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Finding the Fourth Proportional to 14,733, 22,098.96 and 6,413.01

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Solution

The fourth proportional to 14,733, 22,098.96 and 6,413.01 is: 9,619.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,733 : 22,098.96 = 6,413.01 : x
  2. Step 2: Convert to fraction form
    14,733/22,098.96 = 6,413.01/x
  3. Step 3: Cross multiply
    14,733x = 22,098.96 × 6,413.01
  4. Step 4: Simplify right side
    14,733x = 141,720,851.47
  5. Step 5: Solve for x
    x = 141,720,851.47/14,733
  6. Step 6: Final answer
    x = 9,619.28

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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.