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Finding the Fourth Proportional to 11,787.86, 16,267.76 and 6,482.87

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Solution

The fourth proportional to 11,787.86, 16,267.76 and 6,482.87 is: 8,946.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,787.86 : 16,267.76 = 6,482.87 : x
  2. Step 2: Convert to fraction form
    11,787.86/16,267.76 = 6,482.87/x
  3. Step 3: Cross multiply
    11,787.86x = 16,267.76 × 6,482.87
  4. Step 4: Simplify right side
    11,787.86x = 105,461,659.52
  5. Step 5: Solve for x
    x = 105,461,659.52/11,787.86
  6. Step 6: Final answer
    x = 8,946.64

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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.