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Finding the Fourth Proportional to 7,782.24, 10,743.10 and 4,594.48

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Solution

The fourth proportional to 7,782.24, 10,743.10 and 4,594.48 is: 6,342.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,782.24 : 10,743.10 = 4,594.48 : x
  2. Step 2: Convert to fraction form
    7,782.24/10,743.10 = 4,594.48/x
  3. Step 3: Cross multiply
    7,782.24x = 10,743.10 × 4,594.48
  4. Step 4: Simplify right side
    7,782.24x = 49,358,958.09
  5. Step 5: Solve for x
    x = 49,358,958.09/7,782.24
  6. Step 6: Final answer
    x = 6,342.51

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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.