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Finding the Fourth Proportional to 6,580.26, 9,080.98 and 3,748.10

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Solution

The fourth proportional to 6,580.26, 9,080.98 and 3,748.10 is: 5,172.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,580.26 : 9,080.98 = 3,748.10 : x
  2. Step 2: Convert to fraction form
    6,580.26/9,080.98 = 3,748.10/x
  3. Step 3: Cross multiply
    6,580.26x = 9,080.98 × 3,748.10
  4. Step 4: Simplify right side
    6,580.26x = 34,036,421.14
  5. Step 5: Solve for x
    x = 34,036,421.14/6,580.26
  6. Step 6: Final answer
    x = 5,172.50

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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.