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Finding the Fourth Proportional to 4,547.67, 6,814.22 and 4,110.27

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Solution

The fourth proportional to 4,547.67, 6,814.22 and 4,110.27 is: 6,158.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,547.67 : 6,814.22 = 4,110.27 : x
  2. Step 2: Convert to fraction form
    4,547.67/6,814.22 = 4,110.27/x
  3. Step 3: Cross multiply
    4,547.67x = 6,814.22 × 4,110.27
  4. Step 4: Simplify right side
    4,547.67x = 28,008,263.49
  5. Step 5: Solve for x
    x = 28,008,263.49/4,547.67
  6. Step 6: Final answer
    x = 6,158.82

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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.