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Finding the Fourth Proportional to 16,378.51, 24,569.04 and 5,850.80

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Solution

The fourth proportional to 16,378.51, 24,569.04 and 5,850.80 is: 8,776.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,378.51 : 24,569.04 = 5,850.80 : x
  2. Step 2: Convert to fraction form
    16,378.51/24,569.04 = 5,850.80/x
  3. Step 3: Cross multiply
    16,378.51x = 24,569.04 × 5,850.80
  4. Step 4: Simplify right side
    16,378.51x = 143,748,539.23
  5. Step 5: Solve for x
    x = 143,748,539.23/16,378.51
  6. Step 6: Final answer
    x = 8,776.66

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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.