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Finding the Fourth Proportional to 6,534.34, 9,011.24 and 5,039.89

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Solution

The fourth proportional to 6,534.34, 9,011.24 and 5,039.89 is: 6,950.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,534.34 : 9,011.24 = 5,039.89 : x
  2. Step 2: Convert to fraction form
    6,534.34/9,011.24 = 5,039.89/x
  3. Step 3: Cross multiply
    6,534.34x = 9,011.24 × 5,039.89
  4. Step 4: Simplify right side
    6,534.34x = 45,415,658.36
  5. Step 5: Solve for x
    x = 45,415,658.36/6,534.34
  6. Step 6: Final answer
    x = 6,950.31

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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.