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Finding the Fourth Proportional to 6,748.94, 9,313.08 and 4,230.95

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Solution

The fourth proportional to 6,748.94, 9,313.08 and 4,230.95 is: 5,838.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,748.94 : 9,313.08 = 4,230.95 : x
  2. Step 2: Convert to fraction form
    6,748.94/9,313.08 = 4,230.95/x
  3. Step 3: Cross multiply
    6,748.94x = 9,313.08 × 4,230.95
  4. Step 4: Simplify right side
    6,748.94x = 39,403,129.26
  5. Step 5: Solve for x
    x = 39,403,129.26/6,748.94
  6. Step 6: Final answer
    x = 5,838.42

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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.