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Finding the Fourth Proportional to 6,751.34, 9,314.25 and 4,229.06

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Solution

The fourth proportional to 6,751.34, 9,314.25 and 4,229.06 is: 5,834.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,751.34 : 9,314.25 = 4,229.06 : x
  2. Step 2: Convert to fraction form
    6,751.34/9,314.25 = 4,229.06/x
  3. Step 3: Cross multiply
    6,751.34x = 9,314.25 × 4,229.06
  4. Step 4: Simplify right side
    6,751.34x = 39,390,510.46
  5. Step 5: Solve for x
    x = 39,390,510.46/6,751.34
  6. Step 6: Final answer
    x = 5,834.47

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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.