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Finding the Fourth Proportional to 12,178.20, 16,722.51 and 9,802.20

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Solution

The fourth proportional to 12,178.20, 16,722.51 and 9,802.20 is: 13,459.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,178.20 : 16,722.51 = 9,802.20 : x
  2. Step 2: Convert to fraction form
    12,178.20/16,722.51 = 9,802.20/x
  3. Step 3: Cross multiply
    12,178.20x = 16,722.51 × 9,802.20
  4. Step 4: Simplify right side
    12,178.20x = 163,917,387.52
  5. Step 5: Solve for x
    x = 163,917,387.52/12,178.20
  6. Step 6: Final answer
    x = 13,459.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.