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Finding the Fourth Proportional to 8,566.56, 11,816.28 and 7,238.16

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Solution

The fourth proportional to 8,566.56, 11,816.28 and 7,238.16 is: 9,983.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,566.56 : 11,816.28 = 7,238.16 : x
  2. Step 2: Convert to fraction form
    8,566.56/11,816.28 = 7,238.16/x
  3. Step 3: Cross multiply
    8,566.56x = 11,816.28 × 7,238.16
  4. Step 4: Simplify right side
    8,566.56x = 85,528,125.24
  5. Step 5: Solve for x
    x = 85,528,125.24/8,566.56
  6. Step 6: Final answer
    x = 9,983.95

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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.