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Finding the Fourth Proportional to 7,628.56, 10,526.83 and 4,644

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Solution

The fourth proportional to 7,628.56, 10,526.83 and 4,644 is: 6,408.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,628.56 : 10,526.83 = 4,644 : x
  2. Step 2: Convert to fraction form
    7,628.56/10,526.83 = 4,644/x
  3. Step 3: Cross multiply
    7,628.56x = 10,526.83 × 4,644
  4. Step 4: Simplify right side
    7,628.56x = 48,886,586.91
  5. Step 5: Solve for x
    x = 48,886,586.91/7,628.56
  6. Step 6: Final answer
    x = 6,408.37

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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.