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Finding the Fourth Proportional to 5,866.12, 8,098.99 and 5,235.54

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Solution

The fourth proportional to 5,866.12, 8,098.99 and 5,235.54 is: 7,228.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,866.12 : 8,098.99 = 5,235.54 : x
  2. Step 2: Convert to fraction form
    5,866.12/8,098.99 = 5,235.54/x
  3. Step 3: Cross multiply
    5,866.12x = 8,098.99 × 5,235.54
  4. Step 4: Simplify right side
    5,866.12x = 42,402,542.64
  5. Step 5: Solve for x
    x = 42,402,542.64/5,866.12
  6. Step 6: Final answer
    x = 7,228.38

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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.