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Finding the Fourth Proportional to 6,751.16, 9,312 and 6,193.52

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Solution

The fourth proportional to 6,751.16, 9,312 and 6,193.52 is: 8,542.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,751.16 : 9,312 = 6,193.52 : x
  2. Step 2: Convert to fraction form
    6,751.16/9,312 = 6,193.52/x
  3. Step 3: Cross multiply
    6,751.16x = 9,312 × 6,193.52
  4. Step 4: Simplify right side
    6,751.16x = 57,674,058.24
  5. Step 5: Solve for x
    x = 57,674,058.24/6,751.16
  6. Step 6: Final answer
    x = 8,542.84

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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.