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Finding the Fourth Proportional to 25,823.40, 38,735.10 and 7,355.40

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Solution

The fourth proportional to 25,823.40, 38,735.10 and 7,355.40 is: 11,033.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,823.40 : 38,735.10 = 7,355.40 : x
  2. Step 2: Convert to fraction form
    25,823.40/38,735.10 = 7,355.40/x
  3. Step 3: Cross multiply
    25,823.40x = 38,735.10 × 7,355.40
  4. Step 4: Simplify right side
    25,823.40x = 284,912,154.54
  5. Step 5: Solve for x
    x = 284,912,154.54/25,823.40
  6. Step 6: Final answer
    x = 11,033.10

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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.