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Finding the Fourth Proportional to 25,054.78, 37,582.80 and 8,415.40

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Solution

The fourth proportional to 25,054.78, 37,582.80 and 8,415.40 is: 12,623.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,054.78 : 37,582.80 = 8,415.40 : x
  2. Step 2: Convert to fraction form
    25,054.78/37,582.80 = 8,415.40/x
  3. Step 3: Cross multiply
    25,054.78x = 37,582.80 × 8,415.40
  4. Step 4: Simplify right side
    25,054.78x = 316,274,295.12
  5. Step 5: Solve for x
    x = 316,274,295.12/25,054.78
  6. Step 6: Final answer
    x = 12,623.31

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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.