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Finding the Fourth Proportional to 11,509.22, 15,882.63 and 6,541.22

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Solution

The fourth proportional to 11,509.22, 15,882.63 and 6,541.22 is: 9,026.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,509.22 : 15,882.63 = 6,541.22 : x
  2. Step 2: Convert to fraction form
    11,509.22/15,882.63 = 6,541.22/x
  3. Step 3: Cross multiply
    11,509.22x = 15,882.63 × 6,541.22
  4. Step 4: Simplify right side
    11,509.22x = 103,891,697.60
  5. Step 5: Solve for x
    x = 103,891,697.60/11,509.22
  6. Step 6: Final answer
    x = 9,026.83

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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.