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Finding the Fourth Proportional to 11,606.10, 16,020.99 and 7,831.50

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Solution

The fourth proportional to 11,606.10, 16,020.99 and 7,831.50 is: 10,810.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,606.10 : 16,020.99 = 7,831.50 : x
  2. Step 2: Convert to fraction form
    11,606.10/16,020.99 = 7,831.50/x
  3. Step 3: Cross multiply
    11,606.10x = 16,020.99 × 7,831.50
  4. Step 4: Simplify right side
    11,606.10x = 125,468,383.19
  5. Step 5: Solve for x
    x = 125,468,383.19/11,606.10
  6. Step 6: Final answer
    x = 10,810.56

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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.