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Finding the Fourth Proportional to 11,495.55, 15,854.75 and 7,457.97

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Solution

The fourth proportional to 11,495.55, 15,854.75 and 7,457.97 is: 10,286.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,495.55 : 15,854.75 = 7,457.97 : x
  2. Step 2: Convert to fraction form
    11,495.55/15,854.75 = 7,457.97/x
  3. Step 3: Cross multiply
    11,495.55x = 15,854.75 × 7,457.97
  4. Step 4: Simplify right side
    11,495.55x = 118,244,341.94
  5. Step 5: Solve for x
    x = 118,244,341.94/11,495.55
  6. Step 6: Final answer
    x = 10,286.09

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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.