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Finding the Fourth Proportional to 6,788.16, 9,369.84 and 3,956.88

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Solution

The fourth proportional to 6,788.16, 9,369.84 and 3,956.88 is: 5,461.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,788.16 : 9,369.84 = 3,956.88 : x
  2. Step 2: Convert to fraction form
    6,788.16/9,369.84 = 3,956.88/x
  3. Step 3: Cross multiply
    6,788.16x = 9,369.84 × 3,956.88
  4. Step 4: Simplify right side
    6,788.16x = 37,075,332.50
  5. Step 5: Solve for x
    x = 37,075,332.50/6,788.16
  6. Step 6: Final answer
    x = 5,461.76

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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.