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Finding the Fourth Proportional to 7,210.54, 10,814.73 and 5,985.82

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Solution

The fourth proportional to 7,210.54, 10,814.73 and 5,985.82 is: 8,977.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,210.54 : 10,814.73 = 5,985.82 : x
  2. Step 2: Convert to fraction form
    7,210.54/10,814.73 = 5,985.82/x
  3. Step 3: Cross multiply
    7,210.54x = 10,814.73 × 5,985.82
  4. Step 4: Simplify right side
    7,210.54x = 64,735,027.13
  5. Step 5: Solve for x
    x = 64,735,027.13/7,210.54
  6. Step 6: Final answer
    x = 8,977.83

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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.