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Finding the Fourth Proportional to 10,682.94, 14,731.14 and 7,330.68

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Solution

The fourth proportional to 10,682.94, 14,731.14 and 7,330.68 is: 10,108.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,682.94 : 14,731.14 = 7,330.68 : x
  2. Step 2: Convert to fraction form
    10,682.94/14,731.14 = 7,330.68/x
  3. Step 3: Cross multiply
    10,682.94x = 14,731.14 × 7,330.68
  4. Step 4: Simplify right side
    10,682.94x = 107,989,273.38
  5. Step 5: Solve for x
    x = 107,989,273.38/10,682.94
  6. Step 6: Final answer
    x = 10,108.57

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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.