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Finding the Fourth Proportional to 9,757.84, 14,636.80 and 2,362.29

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Solution

The fourth proportional to 9,757.84, 14,636.80 and 2,362.29 is: 3,543.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,757.84 : 14,636.80 = 2,362.29 : x
  2. Step 2: Convert to fraction form
    9,757.84/14,636.80 = 2,362.29/x
  3. Step 3: Cross multiply
    9,757.84x = 14,636.80 × 2,362.29
  4. Step 4: Simplify right side
    9,757.84x = 34,576,347.98
  5. Step 5: Solve for x
    x = 34,576,347.98/9,757.84
  6. Step 6: Final answer
    x = 3,543.44

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1.5x scale

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.