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Finding the Fourth Proportional to 11,173.14, 15,417.09 and 6,457.14

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Solution

The fourth proportional to 11,173.14, 15,417.09 and 6,457.14 is: 8,909.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,173.14 : 15,417.09 = 6,457.14 : x
  2. Step 2: Convert to fraction form
    11,173.14/15,417.09 = 6,457.14/x
  3. Step 3: Cross multiply
    11,173.14x = 15,417.09 × 6,457.14
  4. Step 4: Simplify right side
    11,173.14x = 99,550,308.52
  5. Step 5: Solve for x
    x = 99,550,308.52/11,173.14
  6. Step 6: Final answer
    x = 8,909.79

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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.