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Finding the Fourth Proportional to 25,882.40, 38,823.60 and 9,250.40

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Solution

The fourth proportional to 25,882.40, 38,823.60 and 9,250.40 is: 13,875.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,882.40 : 38,823.60 = 9,250.40 : x
  2. Step 2: Convert to fraction form
    25,882.40/38,823.60 = 9,250.40/x
  3. Step 3: Cross multiply
    25,882.40x = 38,823.60 × 9,250.40
  4. Step 4: Simplify right side
    25,882.40x = 359,133,829.44
  5. Step 5: Solve for x
    x = 359,133,829.44/25,882.40
  6. Step 6: Final answer
    x = 13,875.60

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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.