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Finding the Fourth Proportional to 9,797.67, 14,701.77 and 6,512.31

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Solution

The fourth proportional to 9,797.67, 14,701.77 and 6,512.31 is: 9,771.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,797.67 : 14,701.77 = 6,512.31 : x
  2. Step 2: Convert to fraction form
    9,797.67/14,701.77 = 6,512.31/x
  3. Step 3: Cross multiply
    9,797.67x = 14,701.77 × 6,512.31
  4. Step 4: Simplify right side
    9,797.67x = 95,742,483.79
  5. Step 5: Solve for x
    x = 95,742,483.79/9,797.67
  6. Step 6: Final answer
    x = 9,771.96

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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.