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Finding the Fourth Proportional to 13,784.16, 20,694.60 and 7,215.60

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Solution

The fourth proportional to 13,784.16, 20,694.60 and 7,215.60 is: 10,833.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,784.16 : 20,694.60 = 7,215.60 : x
  2. Step 2: Convert to fraction form
    13,784.16/20,694.60 = 7,215.60/x
  3. Step 3: Cross multiply
    13,784.16x = 20,694.60 × 7,215.60
  4. Step 4: Simplify right side
    13,784.16x = 149,323,955.76
  5. Step 5: Solve for x
    x = 149,323,955.76/13,784.16
  6. Step 6: Final answer
    x = 10,833.01

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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.