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Finding the Fourth Proportional to 15,157.70, 22,740.22 and 4,769.46

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Solution

The fourth proportional to 15,157.70, 22,740.22 and 4,769.46 is: 7,155.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,157.70 : 22,740.22 = 4,769.46 : x
  2. Step 2: Convert to fraction form
    15,157.70/22,740.22 = 4,769.46/x
  3. Step 3: Cross multiply
    15,157.70x = 22,740.22 × 4,769.46
  4. Step 4: Simplify right side
    15,157.70x = 108,458,569.68
  5. Step 5: Solve for x
    x = 108,458,569.68/15,157.70
  6. Step 6: Final answer
    x = 7,155.34

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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.