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Finding the Fourth Proportional to 6,212.36, 9,337.74 and 5,905.16

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Solution

The fourth proportional to 6,212.36, 9,337.74 and 5,905.16 is: 8,875.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,212.36 : 9,337.74 = 5,905.16 : x
  2. Step 2: Convert to fraction form
    6,212.36/9,337.74 = 5,905.16/x
  3. Step 3: Cross multiply
    6,212.36x = 9,337.74 × 5,905.16
  4. Step 4: Simplify right side
    6,212.36x = 55,140,848.74
  5. Step 5: Solve for x
    x = 55,140,848.74/6,212.36
  6. Step 6: Final answer
    x = 8,875.99

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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.