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Finding the Fourth Proportional to 13,098, 18,075.24 and 7,210

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Solution

The fourth proportional to 13,098, 18,075.24 and 7,210 is: 9,949.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,098 : 18,075.24 = 7,210 : x
  2. Step 2: Convert to fraction form
    13,098/18,075.24 = 7,210/x
  3. Step 3: Cross multiply
    13,098x = 18,075.24 × 7,210
  4. Step 4: Simplify right side
    13,098x = 130,322,480.40
  5. Step 5: Solve for x
    x = 130,322,480.40/13,098
  6. Step 6: Final answer
    x = 9,949.80

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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.