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Finding the Fourth Proportional to 10,674.81, 14,731.14 and 5,894.76

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Solution

The fourth proportional to 10,674.81, 14,731.14 and 5,894.76 is: 8,134.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,674.81 : 14,731.14 = 5,894.76 : x
  2. Step 2: Convert to fraction form
    10,674.81/14,731.14 = 5,894.76/x
  3. Step 3: Cross multiply
    10,674.81x = 14,731.14 × 5,894.76
  4. Step 4: Simplify right side
    10,674.81x = 86,836,534.83
  5. Step 5: Solve for x
    x = 86,836,534.83/10,674.81
  6. Step 6: Final answer
    x = 8,134.71

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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.