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Finding the Fourth Proportional to 7,813.60, 10,782.96 and 4,277

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Solution

The fourth proportional to 7,813.60, 10,782.96 and 4,277 is: 5,902.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,813.60 : 10,782.96 = 4,277 : x
  2. Step 2: Convert to fraction form
    7,813.60/10,782.96 = 4,277/x
  3. Step 3: Cross multiply
    7,813.60x = 10,782.96 × 4,277
  4. Step 4: Simplify right side
    7,813.60x = 46,118,719.92
  5. Step 5: Solve for x
    x = 46,118,719.92/7,813.60
  6. Step 6: Final answer
    x = 5,902.37

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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.