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Finding the Fourth Proportional to 18,492.84, 27,730.84 and 5,342.08

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Solution

The fourth proportional to 18,492.84, 27,730.84 and 5,342.08 is: 8,010.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,492.84 : 27,730.84 = 5,342.08 : x
  2. Step 2: Convert to fraction form
    18,492.84/27,730.84 = 5,342.08/x
  3. Step 3: Cross multiply
    18,492.84x = 27,730.84 × 5,342.08
  4. Step 4: Simplify right side
    18,492.84x = 148,140,365.75
  5. Step 5: Solve for x
    x = 148,140,365.75/18,492.84
  6. Step 6: Final answer
    x = 8,010.69

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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.