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Finding the Fourth Proportional to 5,484.70, 8,214.90 and 4,869.10

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Solution

The fourth proportional to 5,484.70, 8,214.90 and 4,869.10 is: 7,292.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,484.70 : 8,214.90 = 4,869.10 : x
  2. Step 2: Convert to fraction form
    5,484.70/8,214.90 = 4,869.10/x
  3. Step 3: Cross multiply
    5,484.70x = 8,214.90 × 4,869.10
  4. Step 4: Simplify right side
    5,484.70x = 39,999,169.59
  5. Step 5: Solve for x
    x = 39,999,169.59/5,484.70
  6. Step 6: Final answer
    x = 7,292.86

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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.