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Finding the Fourth Proportional to 7,663.74, 10,575.60 and 4,684.56

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Solution

The fourth proportional to 7,663.74, 10,575.60 and 4,684.56 is: 6,464.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,663.74 : 10,575.60 = 4,684.56 : x
  2. Step 2: Convert to fraction form
    7,663.74/10,575.60 = 4,684.56/x
  3. Step 3: Cross multiply
    7,663.74x = 10,575.60 × 4,684.56
  4. Step 4: Simplify right side
    7,663.74x = 49,542,032.74
  5. Step 5: Solve for x
    x = 49,542,032.74/7,663.74
  6. Step 6: Final answer
    x = 6,464.47

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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.