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Finding the Fourth Proportional to 11,597.81, 17,369.65 and 8,470.07

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Solution

The fourth proportional to 11,597.81, 17,369.65 and 8,470.07 is: 12,685.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,597.81 : 17,369.65 = 8,470.07 : x
  2. Step 2: Convert to fraction form
    11,597.81/17,369.65 = 8,470.07/x
  3. Step 3: Cross multiply
    11,597.81x = 17,369.65 × 8,470.07
  4. Step 4: Simplify right side
    11,597.81x = 147,122,022.18
  5. Step 5: Solve for x
    x = 147,122,022.18/11,597.81
  6. Step 6: Final answer
    x = 12,685.33

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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.