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Finding the Fourth Proportional to 6,698.55, 9,247.67 and 4,430

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Solution

The fourth proportional to 6,698.55, 9,247.67 and 4,430 is: 6,115.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,698.55 : 9,247.67 = 4,430 : x
  2. Step 2: Convert to fraction form
    6,698.55/9,247.67 = 4,430/x
  3. Step 3: Cross multiply
    6,698.55x = 9,247.67 × 4,430
  4. Step 4: Simplify right side
    6,698.55x = 40,967,178.10
  5. Step 5: Solve for x
    x = 40,967,178.10/6,698.55
  6. Step 6: Final answer
    x = 6,115.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.