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Finding the Fourth Proportional to 7,709.52, 10,638.56 and 4,564.56

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Solution

The fourth proportional to 7,709.52, 10,638.56 and 4,564.56 is: 6,298.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,709.52 : 10,638.56 = 4,564.56 : x
  2. Step 2: Convert to fraction form
    7,709.52/10,638.56 = 4,564.56/x
  3. Step 3: Cross multiply
    7,709.52x = 10,638.56 × 4,564.56
  4. Step 4: Simplify right side
    7,709.52x = 48,560,345.43
  5. Step 5: Solve for x
    x = 48,560,345.43/7,709.52
  6. Step 6: Final answer
    x = 6,298.75

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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.