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Finding the Fourth Proportional to 6,190.67, 8,547 and 4,301.64

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Solution

The fourth proportional to 6,190.67, 8,547 and 4,301.64 is: 5,938.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,190.67 : 8,547 = 4,301.64 : x
  2. Step 2: Convert to fraction form
    6,190.67/8,547 = 4,301.64/x
  3. Step 3: Cross multiply
    6,190.67x = 8,547 × 4,301.64
  4. Step 4: Simplify right side
    6,190.67x = 36,766,117.08
  5. Step 5: Solve for x
    x = 36,766,117.08/6,190.67
  6. Step 6: Final answer
    x = 5,938.96

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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.