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Finding the Fourth Proportional to 7,838.96, 11,752.30 and 5,366.30

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Solution

The fourth proportional to 7,838.96, 11,752.30 and 5,366.30 is: 8,045.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,838.96 : 11,752.30 = 5,366.30 : x
  2. Step 2: Convert to fraction form
    7,838.96/11,752.30 = 5,366.30/x
  3. Step 3: Cross multiply
    7,838.96x = 11,752.30 × 5,366.30
  4. Step 4: Simplify right side
    7,838.96x = 63,066,367.49
  5. Step 5: Solve for x
    x = 63,066,367.49/7,838.96
  6. Step 6: Final answer
    x = 8,045.25

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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.