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Finding the Fourth Proportional to 10,274.86, 14,178.98 and 5,737.67

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Solution

The fourth proportional to 10,274.86, 14,178.98 and 5,737.67 is: 7,917.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,274.86 : 14,178.98 = 5,737.67 : x
  2. Step 2: Convert to fraction form
    10,274.86/14,178.98 = 5,737.67/x
  3. Step 3: Cross multiply
    10,274.86x = 14,178.98 × 5,737.67
  4. Step 4: Simplify right side
    10,274.86x = 81,354,251.63
  5. Step 5: Solve for x
    x = 81,354,251.63/10,274.86
  6. Step 6: Final answer
    x = 7,917.80

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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.