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Finding the Fourth Proportional to 9,735.68, 14,603 and 2,715.68

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Solution

The fourth proportional to 9,735.68, 14,603 and 2,715.68 is: 4,073.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,735.68 : 14,603 = 2,715.68 : x
  2. Step 2: Convert to fraction form
    9,735.68/14,603 = 2,715.68/x
  3. Step 3: Cross multiply
    9,735.68x = 14,603 × 2,715.68
  4. Step 4: Simplify right side
    9,735.68x = 39,657,075.04
  5. Step 5: Solve for x
    x = 39,657,075.04/9,735.68
  6. Step 6: Final answer
    x = 4,073.37

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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.