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Finding the Fourth Proportional to 9,776.65, 13,491.74 and 5,300.37

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Solution

The fourth proportional to 9,776.65, 13,491.74 and 5,300.37 is: 7,314.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,776.65 : 13,491.74 = 5,300.37 : x
  2. Step 2: Convert to fraction form
    9,776.65/13,491.74 = 5,300.37/x
  3. Step 3: Cross multiply
    9,776.65x = 13,491.74 × 5,300.37
  4. Step 4: Simplify right side
    9,776.65x = 71,511,213.94
  5. Step 5: Solve for x
    x = 71,511,213.94/9,776.65
  6. Step 6: Final answer
    x = 7,314.49

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1.5x scale

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.