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Finding the Fourth Proportional to 7,674.93, 10,591.47 and 4,531.05

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Solution

The fourth proportional to 7,674.93, 10,591.47 and 4,531.05 is: 6,252.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,674.93 : 10,591.47 = 4,531.05 : x
  2. Step 2: Convert to fraction form
    7,674.93/10,591.47 = 4,531.05/x
  3. Step 3: Cross multiply
    7,674.93x = 10,591.47 × 4,531.05
  4. Step 4: Simplify right side
    7,674.93x = 47,990,480.14
  5. Step 5: Solve for x
    x = 47,990,480.14/7,674.93
  6. Step 6: Final answer
    x = 6,252.89

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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.