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Finding the Fourth Proportional to 7,732, 10,665.44 and 4,586.08

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Solution

The fourth proportional to 7,732, 10,665.44 and 4,586.08 is: 6,325.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,732 : 10,665.44 = 4,586.08 : x
  2. Step 2: Convert to fraction form
    7,732/10,665.44 = 4,586.08/x
  3. Step 3: Cross multiply
    7,732x = 10,665.44 × 4,586.08
  4. Step 4: Simplify right side
    7,732x = 48,912,561.08
  5. Step 5: Solve for x
    x = 48,912,561.08/7,732
  6. Step 6: Final answer
    x = 6,325.99

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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.