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Finding the Fourth Proportional to 19,482.16, 29,208.84 and 7,786.48

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Solution

The fourth proportional to 19,482.16, 29,208.84 and 7,786.48 is: 11,673.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,482.16 : 29,208.84 = 7,786.48 : x
  2. Step 2: Convert to fraction form
    19,482.16/29,208.84 = 7,786.48/x
  3. Step 3: Cross multiply
    19,482.16x = 29,208.84 × 7,786.48
  4. Step 4: Simplify right side
    19,482.16x = 227,434,048.48
  5. Step 5: Solve for x
    x = 227,434,048.48/19,482.16
  6. Step 6: Final answer
    x = 11,673.96

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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.