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Finding the Fourth Proportional to 7,771.74, 11,649.72 and 3,095.06

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Solution

The fourth proportional to 7,771.74, 11,649.72 and 3,095.06 is: 4,639.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,771.74 : 11,649.72 = 3,095.06 : x
  2. Step 2: Convert to fraction form
    7,771.74/11,649.72 = 3,095.06/x
  3. Step 3: Cross multiply
    7,771.74x = 11,649.72 × 3,095.06
  4. Step 4: Simplify right side
    7,771.74x = 36,056,582.38
  5. Step 5: Solve for x
    x = 36,056,582.38/7,771.74
  6. Step 6: Final answer
    x = 4,639.45

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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.