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Finding the Fourth Proportional to 7,966.64, 10,994.52 and 4,780.07

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Solution

The fourth proportional to 7,966.64, 10,994.52 and 4,780.07 is: 6,596.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,966.64 : 10,994.52 = 4,780.07 : x
  2. Step 2: Convert to fraction form
    7,966.64/10,994.52 = 4,780.07/x
  3. Step 3: Cross multiply
    7,966.64x = 10,994.52 × 4,780.07
  4. Step 4: Simplify right side
    7,966.64x = 52,554,520.24
  5. Step 5: Solve for x
    x = 52,554,520.24/7,966.64
  6. Step 6: Final answer
    x = 6,596.83

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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.