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Finding the Fourth Proportional to 6,430.34, 9,637.58 and 3,659.34

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Solution

The fourth proportional to 6,430.34, 9,637.58 and 3,659.34 is: 5,484.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,430.34 : 9,637.58 = 3,659.34 : x
  2. Step 2: Convert to fraction form
    6,430.34/9,637.58 = 3,659.34/x
  3. Step 3: Cross multiply
    6,430.34x = 9,637.58 × 3,659.34
  4. Step 4: Simplify right side
    6,430.34x = 35,267,182.00
  5. Step 5: Solve for x
    x = 35,267,182.00/6,430.34
  6. Step 6: Final answer
    x = 5,484.50

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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.