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Finding the Fourth Proportional to 9,773.25, 14,659.88 and 4,301.25

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Solution

The fourth proportional to 9,773.25, 14,659.88 and 4,301.25 is: 6,451.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,773.25 : 14,659.88 = 4,301.25 : x
  2. Step 2: Convert to fraction form
    9,773.25/14,659.88 = 4,301.25/x
  3. Step 3: Cross multiply
    9,773.25x = 14,659.88 × 4,301.25
  4. Step 4: Simplify right side
    9,773.25x = 63,055,787.34
  5. Step 5: Solve for x
    x = 63,055,787.34/9,773.25
  6. Step 6: Final answer
    x = 6,451.88

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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.