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Finding the Fourth Proportional to 18,437.60, 27,670.80 and 8,578.10

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Solution

The fourth proportional to 18,437.60, 27,670.80 and 8,578.10 is: 12,873.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,437.60 : 27,670.80 = 8,578.10 : x
  2. Step 2: Convert to fraction form
    18,437.60/27,670.80 = 8,578.10/x
  3. Step 3: Cross multiply
    18,437.60x = 27,670.80 × 8,578.10
  4. Step 4: Simplify right side
    18,437.60x = 237,362,889.48
  5. Step 5: Solve for x
    x = 237,362,889.48/18,437.60
  6. Step 6: Final answer
    x = 12,873.85

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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.