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Finding the Fourth Proportional to 7,463.68, 11,197.68 and 3,080.32

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Solution

The fourth proportional to 7,463.68, 11,197.68 and 3,080.32 is: 4,621.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,463.68 : 11,197.68 = 3,080.32 : x
  2. Step 2: Convert to fraction form
    7,463.68/11,197.68 = 3,080.32/x
  3. Step 3: Cross multiply
    7,463.68x = 11,197.68 × 3,080.32
  4. Step 4: Simplify right side
    7,463.68x = 34,492,437.66
  5. Step 5: Solve for x
    x = 34,492,437.66/7,463.68
  6. Step 6: Final answer
    x = 4,621.37

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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.