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Finding the Fourth Proportional to 10,826.54, 16,254.74 and 7,486.59

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Solution

The fourth proportional to 10,826.54, 16,254.74 and 7,486.59 is: 11,240.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,826.54 : 16,254.74 = 7,486.59 : x
  2. Step 2: Convert to fraction form
    10,826.54/16,254.74 = 7,486.59/x
  3. Step 3: Cross multiply
    10,826.54x = 16,254.74 × 7,486.59
  4. Step 4: Simplify right side
    10,826.54x = 121,692,592.65
  5. Step 5: Solve for x
    x = 121,692,592.65/10,826.54
  6. Step 6: Final answer
    x = 11,240.22

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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.