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Finding the Fourth Proportional to 14,863.92, 22,303.19 and 5,978.88

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Solution

The fourth proportional to 14,863.92, 22,303.19 and 5,978.88 is: 8,971.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,863.92 : 22,303.19 = 5,978.88 : x
  2. Step 2: Convert to fraction form
    14,863.92/22,303.19 = 5,978.88/x
  3. Step 3: Cross multiply
    14,863.92x = 22,303.19 × 5,978.88
  4. Step 4: Simplify right side
    14,863.92x = 133,348,066.73
  5. Step 5: Solve for x
    x = 133,348,066.73/14,863.92
  6. Step 6: Final answer
    x = 8,971.26

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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.