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Finding the Fourth Proportional to 9,666.27, 14,502.86 and 5,964.19

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Solution

The fourth proportional to 9,666.27, 14,502.86 and 5,964.19 is: 8,948.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,666.27 : 14,502.86 = 5,964.19 : x
  2. Step 2: Convert to fraction form
    9,666.27/14,502.86 = 5,964.19/x
  3. Step 3: Cross multiply
    9,666.27x = 14,502.86 × 5,964.19
  4. Step 4: Simplify right side
    9,666.27x = 86,497,812.58
  5. Step 5: Solve for x
    x = 86,497,812.58/9,666.27
  6. Step 6: Final answer
    x = 8,948.42

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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.