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Finding the Fourth Proportional to 8,537.84, 11,782.17 and 4,761.05

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Solution

The fourth proportional to 8,537.84, 11,782.17 and 4,761.05 is: 6,570.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,537.84 : 11,782.17 = 4,761.05 : x
  2. Step 2: Convert to fraction form
    8,537.84/11,782.17 = 4,761.05/x
  3. Step 3: Cross multiply
    8,537.84x = 11,782.17 × 4,761.05
  4. Step 4: Simplify right side
    8,537.84x = 56,095,476.67
  5. Step 5: Solve for x
    x = 56,095,476.67/8,537.84
  6. Step 6: Final answer
    x = 6,570.22

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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.