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Finding the Fourth Proportional to 13,457.88, 18,571.50 and 7,489.76

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Solution

The fourth proportional to 13,457.88, 18,571.50 and 7,489.76 is: 10,335.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,457.88 : 18,571.50 = 7,489.76 : x
  2. Step 2: Convert to fraction form
    13,457.88/18,571.50 = 7,489.76/x
  3. Step 3: Cross multiply
    13,457.88x = 18,571.50 × 7,489.76
  4. Step 4: Simplify right side
    13,457.88x = 139,096,077.84
  5. Step 5: Solve for x
    x = 139,096,077.84/13,457.88
  6. Step 6: Final answer
    x = 10,335.66

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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.