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Finding the Fourth Proportional to 25,376.80, 38,065.20 and 7,848.40

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Solution

The fourth proportional to 25,376.80, 38,065.20 and 7,848.40 is: 11,772.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,376.80 : 38,065.20 = 7,848.40 : x
  2. Step 2: Convert to fraction form
    25,376.80/38,065.20 = 7,848.40/x
  3. Step 3: Cross multiply
    25,376.80x = 38,065.20 × 7,848.40
  4. Step 4: Simplify right side
    25,376.80x = 298,750,915.68
  5. Step 5: Solve for x
    x = 298,750,915.68/25,376.80
  6. Step 6: Final answer
    x = 11,772.60

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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.