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Finding the Fourth Proportional to 10,157.76, 15,236.64 and 6,254.64

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Solution

The fourth proportional to 10,157.76, 15,236.64 and 6,254.64 is: 9,381.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,157.76 : 15,236.64 = 6,254.64 : x
  2. Step 2: Convert to fraction form
    10,157.76/15,236.64 = 6,254.64/x
  3. Step 3: Cross multiply
    10,157.76x = 15,236.64 × 6,254.64
  4. Step 4: Simplify right side
    10,157.76x = 95,299,698.01
  5. Step 5: Solve for x
    x = 95,299,698.01/10,157.76
  6. Step 6: Final answer
    x = 9,381.96

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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.