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Finding the Fourth Proportional to 4,647.07, 6,412.98 and 2,657.71

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Solution

The fourth proportional to 4,647.07, 6,412.98 and 2,657.71 is: 3,667.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,647.07 : 6,412.98 = 2,657.71 : x
  2. Step 2: Convert to fraction form
    4,647.07/6,412.98 = 2,657.71/x
  3. Step 3: Cross multiply
    4,647.07x = 6,412.98 × 2,657.71
  4. Step 4: Simplify right side
    4,647.07x = 17,043,841.08
  5. Step 5: Solve for x
    x = 17,043,841.08/4,647.07
  6. Step 6: Final answer
    x = 3,667.65

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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.