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Finding the Fourth Proportional to 7,859.76, 11,769.45 and 4,153.74

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Solution

The fourth proportional to 7,859.76, 11,769.45 and 4,153.74 is: 6,219.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,859.76 : 11,769.45 = 4,153.74 : x
  2. Step 2: Convert to fraction form
    7,859.76/11,769.45 = 4,153.74/x
  3. Step 3: Cross multiply
    7,859.76x = 11,769.45 × 4,153.74
  4. Step 4: Simplify right side
    7,859.76x = 48,887,235.24
  5. Step 5: Solve for x
    x = 48,887,235.24/7,859.76
  6. Step 6: Final answer
    x = 6,219.94

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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.