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Finding the Fourth Proportional to 25,191.81, 37,787.00 and 6,471.09

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Solution

The fourth proportional to 25,191.81, 37,787.00 and 6,471.09 is: 9,706.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,191.81 : 37,787.00 = 6,471.09 : x
  2. Step 2: Convert to fraction form
    25,191.81/37,787.00 = 6,471.09/x
  3. Step 3: Cross multiply
    25,191.81x = 37,787.00 × 6,471.09
  4. Step 4: Simplify right side
    25,191.81x = 244,523,045.47
  5. Step 5: Solve for x
    x = 244,523,045.47/25,191.81
  6. Step 6: Final answer
    x = 9,706.45

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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.