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Finding the Fourth Proportional to 9,433, 12,996.78 and 7,032.76

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Solution

The fourth proportional to 9,433, 12,996.78 and 7,032.76 is: 9,689.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,433 : 12,996.78 = 7,032.76 : x
  2. Step 2: Convert to fraction form
    9,433/12,996.78 = 7,032.76/x
  3. Step 3: Cross multiply
    9,433x = 12,996.78 × 7,032.76
  4. Step 4: Simplify right side
    9,433x = 91,403,234.51
  5. Step 5: Solve for x
    x = 91,403,234.51/9,433
  6. Step 6: Final answer
    x = 9,689.73

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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.