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Finding the Fourth Proportional to 9,762.84, 14,637.78 and 5,382.36

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Solution

The fourth proportional to 9,762.84, 14,637.78 and 5,382.36 is: 8,069.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,762.84 : 14,637.78 = 5,382.36 : x
  2. Step 2: Convert to fraction form
    9,762.84/14,637.78 = 5,382.36/x
  3. Step 3: Cross multiply
    9,762.84x = 14,637.78 × 5,382.36
  4. Step 4: Simplify right side
    9,762.84x = 78,785,801.56
  5. Step 5: Solve for x
    x = 78,785,801.56/9,762.84
  6. Step 6: Final answer
    x = 8,069.97

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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.