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Finding the Fourth Proportional to 35,765.50, 53,648.25 and 11,141.50

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Solution

The fourth proportional to 35,765.50, 53,648.25 and 11,141.50 is: 16,712.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,765.50 : 53,648.25 = 11,141.50 : x
  2. Step 2: Convert to fraction form
    35,765.50/53,648.25 = 11,141.50/x
  3. Step 3: Cross multiply
    35,765.50x = 53,648.25 × 11,141.50
  4. Step 4: Simplify right side
    35,765.50x = 597,721,977.38
  5. Step 5: Solve for x
    x = 597,721,977.38/35,765.50
  6. Step 6: Final answer
    x = 16,712.25

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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.