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Finding the Fourth Proportional to 7,797.76, 11,681.76 and 6,746.80

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Solution

The fourth proportional to 7,797.76, 11,681.76 and 6,746.80 is: 10,107.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,797.76 : 11,681.76 = 6,746.80 : x
  2. Step 2: Convert to fraction form
    7,797.76/11,681.76 = 6,746.80/x
  3. Step 3: Cross multiply
    7,797.76x = 11,681.76 × 6,746.80
  4. Step 4: Simplify right side
    7,797.76x = 78,814,498.37
  5. Step 5: Solve for x
    x = 78,814,498.37/7,797.76
  6. Step 6: Final answer
    x = 10,107.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.