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Finding the Fourth Proportional to 9,963.81, 13,752.99 and 5,984.28

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Solution

The fourth proportional to 9,963.81, 13,752.99 and 5,984.28 is: 8,260.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,963.81 : 13,752.99 = 5,984.28 : x
  2. Step 2: Convert to fraction form
    9,963.81/13,752.99 = 5,984.28/x
  3. Step 3: Cross multiply
    9,963.81x = 13,752.99 × 5,984.28
  4. Step 4: Simplify right side
    9,963.81x = 82,301,743.00
  5. Step 5: Solve for x
    x = 82,301,743.00/9,963.81
  6. Step 6: Final answer
    x = 8,260.07

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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.