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Finding the Fourth Proportional to 6,715.68, 10,075.68 and 2,098.68

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Solution

The fourth proportional to 6,715.68, 10,075.68 and 2,098.68 is: 3,148.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,715.68 : 10,075.68 = 2,098.68 : x
  2. Step 2: Convert to fraction form
    6,715.68/10,075.68 = 2,098.68/x
  3. Step 3: Cross multiply
    6,715.68x = 10,075.68 × 2,098.68
  4. Step 4: Simplify right side
    6,715.68x = 21,145,628.10
  5. Step 5: Solve for x
    x = 21,145,628.10/6,715.68
  6. Step 6: Final answer
    x = 3,148.70

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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.