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Finding the Fourth Proportional to 8,454.98, 11,666.03 and 4,916.30

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Solution

The fourth proportional to 8,454.98, 11,666.03 and 4,916.30 is: 6,783.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,454.98 : 11,666.03 = 4,916.30 : x
  2. Step 2: Convert to fraction form
    8,454.98/11,666.03 = 4,916.30/x
  3. Step 3: Cross multiply
    8,454.98x = 11,666.03 × 4,916.30
  4. Step 4: Simplify right side
    8,454.98x = 57,353,620.38
  5. Step 5: Solve for x
    x = 57,353,620.38/8,454.98
  6. Step 6: Final answer
    x = 6,783.41

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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.