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Finding the Fourth Proportional to 13,425.89, 18,527.22 and 7,457.94

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Solution

The fourth proportional to 13,425.89, 18,527.22 and 7,457.94 is: 10,291.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,425.89 : 18,527.22 = 7,457.94 : x
  2. Step 2: Convert to fraction form
    13,425.89/18,527.22 = 7,457.94/x
  3. Step 3: Cross multiply
    13,425.89x = 18,527.22 × 7,457.94
  4. Step 4: Simplify right side
    13,425.89x = 138,174,895.13
  5. Step 5: Solve for x
    x = 138,174,895.13/13,425.89
  6. Step 6: Final answer
    x = 10,291.68

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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.