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Finding the Fourth Proportional to 8,626.52, 11,895.16 and 5,827.16

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Solution

The fourth proportional to 8,626.52, 11,895.16 and 5,827.16 is: 8,035.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,626.52 : 11,895.16 = 5,827.16 : x
  2. Step 2: Convert to fraction form
    8,626.52/11,895.16 = 5,827.16/x
  3. Step 3: Cross multiply
    8,626.52x = 11,895.16 × 5,827.16
  4. Step 4: Simplify right side
    8,626.52x = 69,315,000.55
  5. Step 5: Solve for x
    x = 69,315,000.55/8,626.52
  6. Step 6: Final answer
    x = 8,035.11

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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.