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Finding the Fourth Proportional to 9,264.10, 13,896.15 and 5,764.90

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Solution

The fourth proportional to 9,264.10, 13,896.15 and 5,764.90 is: 8,647.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,264.10 : 13,896.15 = 5,764.90 : x
  2. Step 2: Convert to fraction form
    9,264.10/13,896.15 = 5,764.90/x
  3. Step 3: Cross multiply
    9,264.10x = 13,896.15 × 5,764.90
  4. Step 4: Simplify right side
    9,264.10x = 80,109,915.14
  5. Step 5: Solve for x
    x = 80,109,915.14/9,264.10
  6. Step 6: Final answer
    x = 8,647.35

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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.