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Finding the Fourth Proportional to 8,537.45, 11,781.07 and 4,760.45

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Solution

The fourth proportional to 8,537.45, 11,781.07 and 4,760.45 is: 6,569.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,537.45 : 11,781.07 = 4,760.45 : x
  2. Step 2: Convert to fraction form
    8,537.45/11,781.07 = 4,760.45/x
  3. Step 3: Cross multiply
    8,537.45x = 11,781.07 × 4,760.45
  4. Step 4: Simplify right side
    8,537.45x = 56,083,123.88
  5. Step 5: Solve for x
    x = 56,083,123.88/8,537.45
  6. Step 6: Final answer
    x = 6,569.08

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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.