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Finding the Fourth Proportional to 8,000.04, 11,039.70 and 4,642.59

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Solution

The fourth proportional to 8,000.04, 11,039.70 and 4,642.59 is: 6,406.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,000.04 : 11,039.70 = 4,642.59 : x
  2. Step 2: Convert to fraction form
    8,000.04/11,039.70 = 4,642.59/x
  3. Step 3: Cross multiply
    8,000.04x = 11,039.70 × 4,642.59
  4. Step 4: Simplify right side
    8,000.04x = 51,252,800.82
  5. Step 5: Solve for x
    x = 51,252,800.82/8,000.04
  6. Step 6: Final answer
    x = 6,406.57

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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.