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Finding the Fourth Proportional to 11,789.84, 16,270.14 and 6,484.64

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Solution

The fourth proportional to 11,789.84, 16,270.14 and 6,484.64 is: 8,948.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,789.84 : 16,270.14 = 6,484.64 : x
  2. Step 2: Convert to fraction form
    11,789.84/16,270.14 = 6,484.64/x
  3. Step 3: Cross multiply
    11,789.84x = 16,270.14 × 6,484.64
  4. Step 4: Simplify right side
    11,789.84x = 105,506,000.65
  5. Step 5: Solve for x
    x = 105,506,000.65/11,789.84
  6. Step 6: Final answer
    x = 8,948.89

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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.