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Finding the Fourth Proportional to 6,877.66, 10,307.03 and 3,749.44

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Solution

The fourth proportional to 6,877.66, 10,307.03 and 3,749.44 is: 5,619.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,877.66 : 10,307.03 = 3,749.44 : x
  2. Step 2: Convert to fraction form
    6,877.66/10,307.03 = 3,749.44/x
  3. Step 3: Cross multiply
    6,877.66x = 10,307.03 × 3,749.44
  4. Step 4: Simplify right side
    6,877.66x = 38,645,539.03
  5. Step 5: Solve for x
    x = 38,645,539.03/6,877.66
  6. Step 6: Final answer
    x = 5,619.00

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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.