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Finding the Fourth Proportional to 11,305.68, 15,595.92 and 6,586.08

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Solution

The fourth proportional to 11,305.68, 15,595.92 and 6,586.08 is: 9,085.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,305.68 : 15,595.92 = 6,586.08 : x
  2. Step 2: Convert to fraction form
    11,305.68/15,595.92 = 6,586.08/x
  3. Step 3: Cross multiply
    11,305.68x = 15,595.92 × 6,586.08
  4. Step 4: Simplify right side
    11,305.68x = 102,715,976.79
  5. Step 5: Solve for x
    x = 102,715,976.79/11,305.68
  6. Step 6: Final answer
    x = 9,085.34

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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.