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Finding the Fourth Proportional to 11,451.76, 15,806.04 and 9,585.52

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Solution

The fourth proportional to 11,451.76, 15,806.04 and 9,585.52 is: 13,230.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,451.76 : 15,806.04 = 9,585.52 : x
  2. Step 2: Convert to fraction form
    11,451.76/15,806.04 = 9,585.52/x
  3. Step 3: Cross multiply
    11,451.76x = 15,806.04 × 9,585.52
  4. Step 4: Simplify right side
    11,451.76x = 151,509,112.54
  5. Step 5: Solve for x
    x = 151,509,112.54/11,451.76
  6. Step 6: Final answer
    x = 13,230.20

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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.