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Finding the Fourth Proportional to 7,693.96, 11,551.62 and 3,948.40

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Solution

The fourth proportional to 7,693.96, 11,551.62 and 3,948.40 is: 5,928.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,693.96 : 11,551.62 = 3,948.40 : x
  2. Step 2: Convert to fraction form
    7,693.96/11,551.62 = 3,948.40/x
  3. Step 3: Cross multiply
    7,693.96x = 11,551.62 × 3,948.40
  4. Step 4: Simplify right side
    7,693.96x = 45,610,416.41
  5. Step 5: Solve for x
    x = 45,610,416.41/7,693.96
  6. Step 6: Final answer
    x = 5,928.08

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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.