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Finding the Fourth Proportional to 7,776.64, 10,728.72 and 6,095.08

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Solution

The fourth proportional to 7,776.64, 10,728.72 and 6,095.08 is: 8,408.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,776.64 : 10,728.72 = 6,095.08 : x
  2. Step 2: Convert to fraction form
    7,776.64/10,728.72 = 6,095.08/x
  3. Step 3: Cross multiply
    7,776.64x = 10,728.72 × 6,095.08
  4. Step 4: Simplify right side
    7,776.64x = 65,392,406.70
  5. Step 5: Solve for x
    x = 65,392,406.70/7,776.64
  6. Step 6: Final answer
    x = 8,408.83

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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.