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Finding the Fourth Proportional to 4,641.14, 6,962.61 and 4,176.39

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Solution

The fourth proportional to 4,641.14, 6,962.61 and 4,176.39 is: 6,265.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,641.14 : 6,962.61 = 4,176.39 : x
  2. Step 2: Convert to fraction form
    4,641.14/6,962.61 = 4,176.39/x
  3. Step 3: Cross multiply
    4,641.14x = 6,962.61 × 4,176.39
  4. Step 4: Simplify right side
    4,641.14x = 29,078,574.78
  5. Step 5: Solve for x
    x = 29,078,574.78/4,641.14
  6. Step 6: Final answer
    x = 6,265.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.