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Finding the Fourth Proportional to 9,043.36, 12,484.80 and 6,214.80

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Solution

The fourth proportional to 9,043.36, 12,484.80 and 6,214.80 is: 8,579.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,043.36 : 12,484.80 = 6,214.80 : x
  2. Step 2: Convert to fraction form
    9,043.36/12,484.80 = 6,214.80/x
  3. Step 3: Cross multiply
    9,043.36x = 12,484.80 × 6,214.80
  4. Step 4: Simplify right side
    9,043.36x = 77,590,535.04
  5. Step 5: Solve for x
    x = 77,590,535.04/9,043.36
  6. Step 6: Final answer
    x = 8,579.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.