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Finding the Fourth Proportional to 13,695.27, 18,899.48 and 7,407.65

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Solution

The fourth proportional to 13,695.27, 18,899.48 and 7,407.65 is: 10,222.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,695.27 : 18,899.48 = 7,407.65 : x
  2. Step 2: Convert to fraction form
    13,695.27/18,899.48 = 7,407.65/x
  3. Step 3: Cross multiply
    13,695.27x = 18,899.48 × 7,407.65
  4. Step 4: Simplify right side
    13,695.27x = 140,000,733.02
  5. Step 5: Solve for x
    x = 140,000,733.02/13,695.27
  6. Step 6: Final answer
    x = 10,222.56

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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.