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Finding the Fourth Proportional to 8,966.84, 12,373.63 and 4,987.80

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Solution

The fourth proportional to 8,966.84, 12,373.63 and 4,987.80 is: 6,882.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,966.84 : 12,373.63 = 4,987.80 : x
  2. Step 2: Convert to fraction form
    8,966.84/12,373.63 = 4,987.80/x
  3. Step 3: Cross multiply
    8,966.84x = 12,373.63 × 4,987.80
  4. Step 4: Simplify right side
    8,966.84x = 61,717,179.24
  5. Step 5: Solve for x
    x = 61,717,179.24/8,966.84
  6. Step 6: Final answer
    x = 6,882.83

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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.