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Finding the Fourth Proportional to 14,536.80, 21,802.56 and 4,146

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Solution

The fourth proportional to 14,536.80, 21,802.56 and 4,146 is: 6,218.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,536.80 : 21,802.56 = 4,146 : x
  2. Step 2: Convert to fraction form
    14,536.80/21,802.56 = 4,146/x
  3. Step 3: Cross multiply
    14,536.80x = 21,802.56 × 4,146
  4. Step 4: Simplify right side
    14,536.80x = 90,393,413.76
  5. Step 5: Solve for x
    x = 90,393,413.76/14,536.80
  6. Step 6: Final answer
    x = 6,218.25

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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.