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Finding the Fourth Proportional to 12,594.82, 18,875.80 and 5,191.82

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Solution

The fourth proportional to 12,594.82, 18,875.80 and 5,191.82 is: 7,780.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,594.82 : 18,875.80 = 5,191.82 : x
  2. Step 2: Convert to fraction form
    12,594.82/18,875.80 = 5,191.82/x
  3. Step 3: Cross multiply
    12,594.82x = 18,875.80 × 5,191.82
  4. Step 4: Simplify right side
    12,594.82x = 97,999,755.96
  5. Step 5: Solve for x
    x = 97,999,755.96/12,594.82
  6. Step 6: Final answer
    x = 7,780.96

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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.