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Finding the Fourth Proportional to 7,683.56, 10,592 and 5,438.48

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Solution

The fourth proportional to 7,683.56, 10,592 and 5,438.48 is: 7,497.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,683.56 : 10,592 = 5,438.48 : x
  2. Step 2: Convert to fraction form
    7,683.56/10,592 = 5,438.48/x
  3. Step 3: Cross multiply
    7,683.56x = 10,592 × 5,438.48
  4. Step 4: Simplify right side
    7,683.56x = 57,604,380.16
  5. Step 5: Solve for x
    x = 57,604,380.16/7,683.56
  6. Step 6: Final answer
    x = 7,497.10

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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.