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Finding the Fourth Proportional to 7,807.70, 10,776.76 and 4,452.28

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Solution

The fourth proportional to 7,807.70, 10,776.76 and 4,452.28 is: 6,145.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,807.70 : 10,776.76 = 4,452.28 : x
  2. Step 2: Convert to fraction form
    7,807.70/10,776.76 = 4,452.28/x
  3. Step 3: Cross multiply
    7,807.70x = 10,776.76 × 4,452.28
  4. Step 4: Simplify right side
    7,807.70x = 47,981,153.01
  5. Step 5: Solve for x
    x = 47,981,153.01/7,807.70
  6. Step 6: Final answer
    x = 6,145.36

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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.