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Finding the Fourth Proportional to 11,457.16, 17,189.86 and 7,069.52

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Solution

The fourth proportional to 11,457.16, 17,189.86 and 7,069.52 is: 10,606.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,457.16 : 17,189.86 = 7,069.52 : x
  2. Step 2: Convert to fraction form
    11,457.16/17,189.86 = 7,069.52/x
  3. Step 3: Cross multiply
    11,457.16x = 17,189.86 × 7,069.52
  4. Step 4: Simplify right side
    11,457.16x = 121,524,059.07
  5. Step 5: Solve for x
    x = 121,524,059.07/11,457.16
  6. Step 6: Final answer
    x = 10,606.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.