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Finding the Fourth Proportional to 6,461.84, 8,916.36 and 3,667.28

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Solution

The fourth proportional to 6,461.84, 8,916.36 and 3,667.28 is: 5,060.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,461.84 : 8,916.36 = 3,667.28 : x
  2. Step 2: Convert to fraction form
    6,461.84/8,916.36 = 3,667.28/x
  3. Step 3: Cross multiply
    6,461.84x = 8,916.36 × 3,667.28
  4. Step 4: Simplify right side
    6,461.84x = 32,698,788.70
  5. Step 5: Solve for x
    x = 32,698,788.70/6,461.84
  6. Step 6: Final answer
    x = 5,060.29

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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.