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Finding the Fourth Proportional to 6,266.70, 8,647.74 and 3,614.16

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Solution

The fourth proportional to 6,266.70, 8,647.74 and 3,614.16 is: 4,987.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,266.70 : 8,647.74 = 3,614.16 : x
  2. Step 2: Convert to fraction form
    6,266.70/8,647.74 = 3,614.16/x
  3. Step 3: Cross multiply
    6,266.70x = 8,647.74 × 3,614.16
  4. Step 4: Simplify right side
    6,266.70x = 31,254,316.00
  5. Step 5: Solve for x
    x = 31,254,316.00/6,266.70
  6. Step 6: Final answer
    x = 4,987.36

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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.