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Finding the Fourth Proportional to 19,765.46, 29,659.86 and 7,294.25

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Solution

The fourth proportional to 19,765.46, 29,659.86 and 7,294.25 is: 10,945.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,765.46 : 29,659.86 = 7,294.25 : x
  2. Step 2: Convert to fraction form
    19,765.46/29,659.86 = 7,294.25/x
  3. Step 3: Cross multiply
    19,765.46x = 29,659.86 × 7,294.25
  4. Step 4: Simplify right side
    19,765.46x = 216,346,285.51
  5. Step 5: Solve for x
    x = 216,346,285.51/19,765.46
  6. Step 6: Final answer
    x = 10,945.68

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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.