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Finding the Fourth Proportional to 9,797.31, 14,666.81 and 5,889.87

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Solution

The fourth proportional to 9,797.31, 14,666.81 and 5,889.87 is: 8,817.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,797.31 : 14,666.81 = 5,889.87 : x
  2. Step 2: Convert to fraction form
    9,797.31/14,666.81 = 5,889.87/x
  3. Step 3: Cross multiply
    9,797.31x = 14,666.81 × 5,889.87
  4. Step 4: Simplify right side
    9,797.31x = 86,385,574.77
  5. Step 5: Solve for x
    x = 86,385,574.77/9,797.31
  6. Step 6: Final answer
    x = 8,817.27

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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.