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Finding the Fourth Proportional to 9,757.97, 14,636.98 and 2,362.41

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Solution

The fourth proportional to 9,757.97, 14,636.98 and 2,362.41 is: 3,543.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,757.97 : 14,636.98 = 2,362.41 : x
  2. Step 2: Convert to fraction form
    9,757.97/14,636.98 = 2,362.41/x
  3. Step 3: Cross multiply
    9,757.97x = 14,636.98 × 2,362.41
  4. Step 4: Simplify right side
    9,757.97x = 34,578,547.92
  5. Step 5: Solve for x
    x = 34,578,547.92/9,757.97
  6. Step 6: Final answer
    x = 3,543.62

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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.