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Finding the Fourth Proportional to 11,495.97, 17,258.55 and 9,775.53

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Solution

The fourth proportional to 11,495.97, 17,258.55 and 9,775.53 is: 14,675.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,495.97 : 17,258.55 = 9,775.53 : x
  2. Step 2: Convert to fraction form
    11,495.97/17,258.55 = 9,775.53/x
  3. Step 3: Cross multiply
    11,495.97x = 17,258.55 × 9,775.53
  4. Step 4: Simplify right side
    11,495.97x = 168,711,473.28
  5. Step 5: Solve for x
    x = 168,711,473.28/11,495.97
  6. Step 6: Final answer
    x = 14,675.71

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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.