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Finding the Fourth Proportional to 7,842.51, 11,765.52 and 2,648.25

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Solution

The fourth proportional to 7,842.51, 11,765.52 and 2,648.25 is: 3,972.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,842.51 : 11,765.52 = 2,648.25 : x
  2. Step 2: Convert to fraction form
    7,842.51/11,765.52 = 2,648.25/x
  3. Step 3: Cross multiply
    7,842.51x = 11,765.52 × 2,648.25
  4. Step 4: Simplify right side
    7,842.51x = 31,158,038.34
  5. Step 5: Solve for x
    x = 31,158,038.34/7,842.51
  6. Step 6: Final answer
    x = 3,972.97

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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.