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Finding the Fourth Proportional to 7,001.50, 9,661.95 and 3,814.82

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Solution

The fourth proportional to 7,001.50, 9,661.95 and 3,814.82 is: 5,264.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,001.50 : 9,661.95 = 3,814.82 : x
  2. Step 2: Convert to fraction form
    7,001.50/9,661.95 = 3,814.82/x
  3. Step 3: Cross multiply
    7,001.50x = 9,661.95 × 3,814.82
  4. Step 4: Simplify right side
    7,001.50x = 36,858,623.76
  5. Step 5: Solve for x
    x = 36,858,623.76/7,001.50
  6. Step 6: Final answer
    x = 5,264.39

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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.