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Finding the Fourth Proportional to 8,541.74, 11,787.34 and 4,765

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Solution

The fourth proportional to 8,541.74, 11,787.34 and 4,765 is: 6,575.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,541.74 : 11,787.34 = 4,765 : x
  2. Step 2: Convert to fraction form
    8,541.74/11,787.34 = 4,765/x
  3. Step 3: Cross multiply
    8,541.74x = 11,787.34 × 4,765
  4. Step 4: Simplify right side
    8,541.74x = 56,166,675.10
  5. Step 5: Solve for x
    x = 56,166,675.10/8,541.74
  6. Step 6: Final answer
    x = 6,575.55

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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.