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Finding the Fourth Proportional to 38,594.75, 57,892.13 and 9,410.75

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Solution

The fourth proportional to 38,594.75, 57,892.13 and 9,410.75 is: 14,116.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,594.75 : 57,892.13 = 9,410.75 : x
  2. Step 2: Convert to fraction form
    38,594.75/57,892.13 = 9,410.75/x
  3. Step 3: Cross multiply
    38,594.75x = 57,892.13 × 9,410.75
  4. Step 4: Simplify right side
    38,594.75x = 544,808,362.40
  5. Step 5: Solve for x
    x = 544,808,362.40/38,594.75
  6. Step 6: Final answer
    x = 14,116.13

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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.