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Finding the Fourth Proportional to 9,695.13, 13,379.57 and 5,719.65

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Solution

The fourth proportional to 9,695.13, 13,379.57 and 5,719.65 is: 7,893.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,695.13 : 13,379.57 = 5,719.65 : x
  2. Step 2: Convert to fraction form
    9,695.13/13,379.57 = 5,719.65/x
  3. Step 3: Cross multiply
    9,695.13x = 13,379.57 × 5,719.65
  4. Step 4: Simplify right side
    9,695.13x = 76,526,457.55
  5. Step 5: Solve for x
    x = 76,526,457.55/9,695.13
  6. Step 6: Final answer
    x = 7,893.29

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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.