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Finding the Fourth Proportional to 16,206.51, 24,309.78 and 3,894.51

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Solution

The fourth proportional to 16,206.51, 24,309.78 and 3,894.51 is: 5,841.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,206.51 : 24,309.78 = 3,894.51 : x
  2. Step 2: Convert to fraction form
    16,206.51/24,309.78 = 3,894.51/x
  3. Step 3: Cross multiply
    16,206.51x = 24,309.78 × 3,894.51
  4. Step 4: Simplify right side
    16,206.51x = 94,674,681.31
  5. Step 5: Solve for x
    x = 94,674,681.31/16,206.51
  6. Step 6: Final answer
    x = 5,841.77

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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.