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Finding the Fourth Proportional to 16,596, 24,894.05 and 4,284

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Solution

The fourth proportional to 16,596, 24,894.05 and 4,284 is: 6,426.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,596 : 24,894.05 = 4,284 : x
  2. Step 2: Convert to fraction form
    16,596/24,894.05 = 4,284/x
  3. Step 3: Cross multiply
    16,596x = 24,894.05 × 4,284
  4. Step 4: Simplify right side
    16,596x = 106,646,088.78
  5. Step 5: Solve for x
    x = 106,646,088.78/16,596
  6. Step 6: Final answer
    x = 6,426.01

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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.