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Finding the Fourth Proportional to 5,396.85, 7,447.10 and 5,000.00

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Solution

The fourth proportional to 5,396.85, 7,447.10 and 5,000.00 is: 6,899.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,396.85 : 7,447.10 = 5,000.00 : x
  2. Step 2: Convert to fraction form
    5,396.85/7,447.10 = 5,000.00/x
  3. Step 3: Cross multiply
    5,396.85x = 7,447.10 × 5,000.00
  4. Step 4: Simplify right side
    5,396.85x = 37,235,437.76
  5. Step 5: Solve for x
    x = 37,235,437.76/5,396.85
  6. Step 6: Final answer
    x = 6,899.48

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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.