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Finding the Fourth Proportional to 7,807.90, 10,775.16 and 4,451.48

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Solution

The fourth proportional to 7,807.90, 10,775.16 and 4,451.48 is: 6,143.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,807.90 : 10,775.16 = 4,451.48 : x
  2. Step 2: Convert to fraction form
    7,807.90/10,775.16 = 4,451.48/x
  3. Step 3: Cross multiply
    7,807.90x = 10,775.16 × 4,451.48
  4. Step 4: Simplify right side
    7,807.90x = 47,965,409.24
  5. Step 5: Solve for x
    x = 47,965,409.24/7,807.90
  6. Step 6: Final answer
    x = 6,143.19

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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.