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Finding the Fourth Proportional to 13,583.40, 20,358.90 and 7,006.20

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Solution

The fourth proportional to 13,583.40, 20,358.90 and 7,006.20 is: 10,500.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,583.40 : 20,358.90 = 7,006.20 : x
  2. Step 2: Convert to fraction form
    13,583.40/20,358.90 = 7,006.20/x
  3. Step 3: Cross multiply
    13,583.40x = 20,358.90 × 7,006.20
  4. Step 4: Simplify right side
    13,583.40x = 142,638,525.18
  5. Step 5: Solve for x
    x = 142,638,525.18/13,583.40
  6. Step 6: Final answer
    x = 10,500.94

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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.