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Finding the Fourth Proportional to 9,117.53, 13,682.06 and 5,229.53

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Solution

The fourth proportional to 9,117.53, 13,682.06 and 5,229.53 is: 7,847.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,117.53 : 13,682.06 = 5,229.53 : x
  2. Step 2: Convert to fraction form
    9,117.53/13,682.06 = 5,229.53/x
  3. Step 3: Cross multiply
    9,117.53x = 13,682.06 × 5,229.53
  4. Step 4: Simplify right side
    9,117.53x = 71,550,743.23
  5. Step 5: Solve for x
    x = 71,550,743.23/9,117.53
  6. Step 6: Final answer
    x = 7,847.60

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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.