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Finding the Fourth Proportional to 9,695.44, 13,379.88 and 5,503.24

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Solution

The fourth proportional to 9,695.44, 13,379.88 and 5,503.24 is: 7,594.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,695.44 : 13,379.88 = 5,503.24 : x
  2. Step 2: Convert to fraction form
    9,695.44/13,379.88 = 5,503.24/x
  3. Step 3: Cross multiply
    9,695.44x = 13,379.88 × 5,503.24
  4. Step 4: Simplify right side
    9,695.44x = 73,632,690.81
  5. Step 5: Solve for x
    x = 73,632,690.81/9,695.44
  6. Step 6: Final answer
    x = 7,594.57

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1.5x scale

Why These Related Problems?

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