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Finding the Fourth Proportional to 6,533.34, 9,012.09 and 6,095.94

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Solution

The fourth proportional to 6,533.34, 9,012.09 and 6,095.94 is: 8,408.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,533.34 : 9,012.09 = 6,095.94 : x
  2. Step 2: Convert to fraction form
    6,533.34/9,012.09 = 6,095.94/x
  3. Step 3: Cross multiply
    6,533.34x = 9,012.09 × 6,095.94
  4. Step 4: Simplify right side
    6,533.34x = 54,937,114.85
  5. Step 5: Solve for x
    x = 54,937,114.85/6,533.34
  6. Step 6: Final answer
    x = 8,408.74

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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.