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Finding the Fourth Proportional to 8,506.24, 11,738.76 and 4,780.24

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Solution

The fourth proportional to 8,506.24, 11,738.76 and 4,780.24 is: 6,596.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,506.24 : 11,738.76 = 4,780.24 : x
  2. Step 2: Convert to fraction form
    8,506.24/11,738.76 = 4,780.24/x
  3. Step 3: Cross multiply
    8,506.24x = 11,738.76 × 4,780.24
  4. Step 4: Simplify right side
    8,506.24x = 56,114,090.10
  5. Step 5: Solve for x
    x = 56,114,090.10/8,506.24
  6. Step 6: Final answer
    x = 6,596.81

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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.