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Finding the Fourth Proportional to 6,751.68, 9,315.18 and 4,657.02

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Solution

The fourth proportional to 6,751.68, 9,315.18 and 4,657.02 is: 6,425.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,751.68 : 9,315.18 = 4,657.02 : x
  2. Step 2: Convert to fraction form
    6,751.68/9,315.18 = 4,657.02/x
  3. Step 3: Cross multiply
    6,751.68x = 9,315.18 × 4,657.02
  4. Step 4: Simplify right side
    6,751.68x = 43,380,979.56
  5. Step 5: Solve for x
    x = 43,380,979.56/6,751.68
  6. Step 6: Final answer
    x = 6,425.21

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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.