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Finding the Fourth Proportional to 7,854.37, 10,837.27 and 5,731.08

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Solution

The fourth proportional to 7,854.37, 10,837.27 and 5,731.08 is: 7,907.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,854.37 : 10,837.27 = 5,731.08 : x
  2. Step 2: Convert to fraction form
    7,854.37/10,837.27 = 5,731.08/x
  3. Step 3: Cross multiply
    7,854.37x = 10,837.27 × 5,731.08
  4. Step 4: Simplify right side
    7,854.37x = 62,109,242.24
  5. Step 5: Solve for x
    x = 62,109,242.24/7,854.37
  6. Step 6: Final answer
    x = 7,907.61

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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.