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Finding the Fourth Proportional to 8,323.99, 12,462.62 and 4,562.06

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Solution

The fourth proportional to 8,323.99, 12,462.62 and 4,562.06 is: 6,830.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,323.99 : 12,462.62 = 4,562.06 : x
  2. Step 2: Convert to fraction form
    8,323.99/12,462.62 = 4,562.06/x
  3. Step 3: Cross multiply
    8,323.99x = 12,462.62 × 4,562.06
  4. Step 4: Simplify right side
    8,323.99x = 56,855,135.07
  5. Step 5: Solve for x
    x = 56,855,135.07/8,323.99
  6. Step 6: Final answer
    x = 6,830.28

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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.