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Finding the Fourth Proportional to 13,602.28, 20,359.64 and 7,019.40

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Solution

The fourth proportional to 13,602.28, 20,359.64 and 7,019.40 is: 10,506.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,602.28 : 20,359.64 = 7,019.40 : x
  2. Step 2: Convert to fraction form
    13,602.28/20,359.64 = 7,019.40/x
  3. Step 3: Cross multiply
    13,602.28x = 20,359.64 × 7,019.40
  4. Step 4: Simplify right side
    13,602.28x = 142,912,457.02
  5. Step 5: Solve for x
    x = 142,912,457.02/13,602.28
  6. Step 6: Final answer
    x = 10,506.51

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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.