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Finding the Fourth Proportional to 6,527.90, 9,784.65 and 3,608.30

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Solution

The fourth proportional to 6,527.90, 9,784.65 and 3,608.30 is: 5,408.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,527.90 : 9,784.65 = 3,608.30 : x
  2. Step 2: Convert to fraction form
    6,527.90/9,784.65 = 3,608.30/x
  3. Step 3: Cross multiply
    6,527.90x = 9,784.65 × 3,608.30
  4. Step 4: Simplify right side
    6,527.90x = 35,305,952.60
  5. Step 5: Solve for x
    x = 35,305,952.60/6,527.90
  6. Step 6: Final answer
    x = 5,408.47

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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.