Home / 10,824.10-16,204.54-9,786.50

Finding the Fourth Proportional to 10,824.10, 16,204.54 and 9,786.50

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Solution

The fourth proportional to 10,824.10, 16,204.54 and 9,786.50 is: 14,651.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,824.10 : 16,204.54 = 9,786.50 : x
  2. Step 2: Convert to fraction form
    10,824.10/16,204.54 = 9,786.50/x
  3. Step 3: Cross multiply
    10,824.10x = 16,204.54 × 9,786.50
  4. Step 4: Simplify right side
    10,824.10x = 158,585,730.71
  5. Step 5: Solve for x
    x = 158,585,730.71/10,824.10
  6. Step 6: Final answer
    x = 14,651.17

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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.