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Finding the Fourth Proportional to 11,305.60, 15,623.04 and 8,506.24

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Solution

The fourth proportional to 11,305.60, 15,623.04 and 8,506.24 is: 11,754.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,305.60 : 15,623.04 = 8,506.24 : x
  2. Step 2: Convert to fraction form
    11,305.60/15,623.04 = 8,506.24/x
  3. Step 3: Cross multiply
    11,305.60x = 15,623.04 × 8,506.24
  4. Step 4: Simplify right side
    11,305.60x = 132,893,327.77
  5. Step 5: Solve for x
    x = 132,893,327.77/11,305.60
  6. Step 6: Final answer
    x = 11,754.65

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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.