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Finding the Fourth Proportional to 5,333.72, 7,381.14 and 5,006.48

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Solution

The fourth proportional to 5,333.72, 7,381.14 and 5,006.48 is: 6,928.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,333.72 : 7,381.14 = 5,006.48 : x
  2. Step 2: Convert to fraction form
    5,333.72/7,381.14 = 5,006.48/x
  3. Step 3: Cross multiply
    5,333.72x = 7,381.14 × 5,006.48
  4. Step 4: Simplify right side
    5,333.72x = 36,953,529.79
  5. Step 5: Solve for x
    x = 36,953,529.79/5,333.72
  6. Step 6: Final answer
    x = 6,928.28

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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.