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Finding the Fourth Proportional to 6,580.44, 9,080.64 and 3,748.14

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Solution

The fourth proportional to 6,580.44, 9,080.64 and 3,748.14 is: 5,172.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,580.44 : 9,080.64 = 3,748.14 : x
  2. Step 2: Convert to fraction form
    6,580.44/9,080.64 = 3,748.14/x
  3. Step 3: Cross multiply
    6,580.44x = 9,080.64 × 3,748.14
  4. Step 4: Simplify right side
    6,580.44x = 34,035,510.01
  5. Step 5: Solve for x
    x = 34,035,510.01/6,580.44
  6. Step 6: Final answer
    x = 5,172.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.