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Finding the Fourth Proportional to 11,584.80, 15,980.22 and 7,606.08

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Solution

The fourth proportional to 11,584.80, 15,980.22 and 7,606.08 is: 10,491.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,584.80 : 15,980.22 = 7,606.08 : x
  2. Step 2: Convert to fraction form
    11,584.80/15,980.22 = 7,606.08/x
  3. Step 3: Cross multiply
    11,584.80x = 15,980.22 × 7,606.08
  4. Step 4: Simplify right side
    11,584.80x = 121,546,831.74
  5. Step 5: Solve for x
    x = 121,546,831.74/11,584.80
  6. Step 6: Final answer
    x = 10,491.92

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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.