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Finding the Fourth Proportional to 11,808.65, 16,296.68 and 6,503.47

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Solution

The fourth proportional to 11,808.65, 16,296.68 and 6,503.47 is: 8,975.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,808.65 : 16,296.68 = 6,503.47 : x
  2. Step 2: Convert to fraction form
    11,808.65/16,296.68 = 6,503.47/x
  3. Step 3: Cross multiply
    11,808.65x = 16,296.68 × 6,503.47
  4. Step 4: Simplify right side
    11,808.65x = 105,984,908.41
  5. Step 5: Solve for x
    x = 105,984,908.41/11,808.65
  6. Step 6: Final answer
    x = 8,975.19

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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.