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Finding the Fourth Proportional to 10,503.96, 15,754.32 and 4,659.54

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Solution

The fourth proportional to 10,503.96, 15,754.32 and 4,659.54 is: 6,988.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,503.96 : 15,754.32 = 4,659.54 : x
  2. Step 2: Convert to fraction form
    10,503.96/15,754.32 = 4,659.54/x
  3. Step 3: Cross multiply
    10,503.96x = 15,754.32 × 4,659.54
  4. Step 4: Simplify right side
    10,503.96x = 73,407,884.21
  5. Step 5: Solve for x
    x = 73,407,884.21/10,503.96
  6. Step 6: Final answer
    x = 6,988.59

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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.