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Finding the Fourth Proportional to 9,959.64, 14,914.81 and 5,786.99

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Solution

The fourth proportional to 9,959.64, 14,914.81 and 5,786.99 is: 8,666.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,959.64 : 14,914.81 = 5,786.99 : x
  2. Step 2: Convert to fraction form
    9,959.64/14,914.81 = 5,786.99/x
  3. Step 3: Cross multiply
    9,959.64x = 14,914.81 × 5,786.99
  4. Step 4: Simplify right side
    9,959.64x = 86,311,844.91
  5. Step 5: Solve for x
    x = 86,311,844.91/9,959.64
  6. Step 6: Final answer
    x = 8,666.16

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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.