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Finding the Fourth Proportional to 7,852.48, 10,828.20 and 5,859.84

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Solution

The fourth proportional to 7,852.48, 10,828.20 and 5,859.84 is: 8,080.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,852.48 : 10,828.20 = 5,859.84 : x
  2. Step 2: Convert to fraction form
    7,852.48/10,828.20 = 5,859.84/x
  3. Step 3: Cross multiply
    7,852.48x = 10,828.20 × 5,859.84
  4. Step 4: Simplify right side
    7,852.48x = 63,451,519.49
  5. Step 5: Solve for x
    x = 63,451,519.49/7,852.48
  6. Step 6: Final answer
    x = 8,080.44

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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.