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Finding the Fourth Proportional to 10,457.56, 14,422.93 and 9,195.99

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Solution

The fourth proportional to 10,457.56, 14,422.93 and 9,195.99 is: 12,682.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,457.56 : 14,422.93 = 9,195.99 : x
  2. Step 2: Convert to fraction form
    10,457.56/14,422.93 = 9,195.99/x
  3. Step 3: Cross multiply
    10,457.56x = 14,422.93 × 9,195.99
  4. Step 4: Simplify right side
    10,457.56x = 132,633,120.05
  5. Step 5: Solve for x
    x = 132,633,120.05/10,457.56
  6. Step 6: Final answer
    x = 12,682.99

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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.