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Finding the Fourth Proportional to 25,152.40, 37,728.60 and 6,684.40

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Solution

The fourth proportional to 25,152.40, 37,728.60 and 6,684.40 is: 10,026.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,152.40 : 37,728.60 = 6,684.40 : x
  2. Step 2: Convert to fraction form
    25,152.40/37,728.60 = 6,684.40/x
  3. Step 3: Cross multiply
    25,152.40x = 37,728.60 × 6,684.40
  4. Step 4: Simplify right side
    25,152.40x = 252,193,053.84
  5. Step 5: Solve for x
    x = 252,193,053.84/25,152.40
  6. Step 6: Final answer
    x = 10,026.60

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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.