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Finding the Fourth Proportional to 10,596.93, 15,906.47 and 7,826.73

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Solution

The fourth proportional to 10,596.93, 15,906.47 and 7,826.73 is: 11,748.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,596.93 : 15,906.47 = 7,826.73 : x
  2. Step 2: Convert to fraction form
    10,596.93/15,906.47 = 7,826.73/x
  3. Step 3: Cross multiply
    10,596.93x = 15,906.47 × 7,826.73
  4. Step 4: Simplify right side
    10,596.93x = 124,495,606.81
  5. Step 5: Solve for x
    x = 124,495,606.81/10,596.93
  6. Step 6: Final answer
    x = 11,748.27

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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.