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Finding the Fourth Proportional to 5,098.55, 7,647.75 and 1,814.00

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Solution

The fourth proportional to 5,098.55, 7,647.75 and 1,814.00 is: 2,720.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,098.55 : 7,647.75 = 1,814.00 : x
  2. Step 2: Convert to fraction form
    5,098.55/7,647.75 = 1,814.00/x
  3. Step 3: Cross multiply
    5,098.55x = 7,647.75 × 1,814.00
  4. Step 4: Simplify right side
    5,098.55x = 13,872,980.26
  5. Step 5: Solve for x
    x = 13,872,980.26/5,098.55
  6. Step 6: Final answer
    x = 2,720.97

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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.