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Finding the Fourth Proportional to 10,602.03, 15,903.29 and 3,206.46

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Solution

The fourth proportional to 10,602.03, 15,903.29 and 3,206.46 is: 4,809.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,602.03 : 15,903.29 = 3,206.46 : x
  2. Step 2: Convert to fraction form
    10,602.03/15,903.29 = 3,206.46/x
  3. Step 3: Cross multiply
    10,602.03x = 15,903.29 × 3,206.46
  4. Step 4: Simplify right side
    10,602.03x = 50,993,247.22
  5. Step 5: Solve for x
    x = 50,993,247.22/10,602.03
  6. Step 6: Final answer
    x = 4,809.76

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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.