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Finding the Fourth Proportional to 15,541.83, 23,308.11 and 5,678.82

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Solution

The fourth proportional to 15,541.83, 23,308.11 and 5,678.82 is: 8,516.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,541.83 : 23,308.11 = 5,678.82 : x
  2. Step 2: Convert to fraction form
    15,541.83/23,308.11 = 5,678.82/x
  3. Step 3: Cross multiply
    15,541.83x = 23,308.11 × 5,678.82
  4. Step 4: Simplify right side
    15,541.83x = 132,362,561.23
  5. Step 5: Solve for x
    x = 132,362,561.23/15,541.83
  6. Step 6: Final answer
    x = 8,516.54

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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.