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Finding the Fourth Proportional to 8,542.60, 11,787.32 and 4,764.92

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Solution

The fourth proportional to 8,542.60, 11,787.32 and 4,764.92 is: 6,574.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,542.60 : 11,787.32 = 4,764.92 : x
  2. Step 2: Convert to fraction form
    8,542.60/11,787.32 = 4,764.92/x
  3. Step 3: Cross multiply
    8,542.60x = 11,787.32 × 4,764.92
  4. Step 4: Simplify right side
    8,542.60x = 56,165,636.81
  5. Step 5: Solve for x
    x = 56,165,636.81/8,542.60
  6. Step 6: Final answer
    x = 6,574.77

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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.