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Finding the Fourth Proportional to 8,536.55, 11,785.08 and 5,898.14

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Solution

The fourth proportional to 8,536.55, 11,785.08 and 5,898.14 is: 8,142.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,536.55 : 11,785.08 = 5,898.14 : x
  2. Step 2: Convert to fraction form
    8,536.55/11,785.08 = 5,898.14/x
  3. Step 3: Cross multiply
    8,536.55x = 11,785.08 × 5,898.14
  4. Step 4: Simplify right side
    8,536.55x = 69,510,051.75
  5. Step 5: Solve for x
    x = 69,510,051.75/8,536.55
  6. Step 6: Final answer
    x = 8,142.64

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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.