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Finding the Fourth Proportional to 10,276.44, 15,403.86 and 5,003.64

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Solution

The fourth proportional to 10,276.44, 15,403.86 and 5,003.64 is: 7,500.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,276.44 : 15,403.86 = 5,003.64 : x
  2. Step 2: Convert to fraction form
    10,276.44/15,403.86 = 5,003.64/x
  3. Step 3: Cross multiply
    10,276.44x = 15,403.86 × 5,003.64
  4. Step 4: Simplify right side
    10,276.44x = 77,075,370.05
  5. Step 5: Solve for x
    x = 77,075,370.05/10,276.44
  6. Step 6: Final answer
    x = 7,500.20

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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.