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Finding the Fourth Proportional to 11,870.65, 16,383.05 and 6,835.08

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Solution

The fourth proportional to 11,870.65, 16,383.05 and 6,835.08 is: 9,433.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,870.65 : 16,383.05 = 6,835.08 : x
  2. Step 2: Convert to fraction form
    11,870.65/16,383.05 = 6,835.08/x
  3. Step 3: Cross multiply
    11,870.65x = 16,383.05 × 6,835.08
  4. Step 4: Simplify right side
    11,870.65x = 111,979,457.39
  5. Step 5: Solve for x
    x = 111,979,457.39/11,870.65
  6. Step 6: Final answer
    x = 9,433.30

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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.