Home / 13,824.12-19,078.12-7,856.16

Finding the Fourth Proportional to 13,824.12, 19,078.12 and 7,856.16

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Solution

The fourth proportional to 13,824.12, 19,078.12 and 7,856.16 is: 10,841.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,824.12 : 19,078.12 = 7,856.16 : x
  2. Step 2: Convert to fraction form
    13,824.12/19,078.12 = 7,856.16/x
  3. Step 3: Cross multiply
    13,824.12x = 19,078.12 × 7,856.16
  4. Step 4: Simplify right side
    13,824.12x = 149,880,763.22
  5. Step 5: Solve for x
    x = 149,880,763.22/13,824.12
  6. Step 6: Final answer
    x = 10,841.97

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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.