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Finding the Fourth Proportional to 7,212.35, 9,952.71 and 4,187.00

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Solution

The fourth proportional to 7,212.35, 9,952.71 and 4,187.00 is: 5,777.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,212.35 : 9,952.71 = 4,187.00 : x
  2. Step 2: Convert to fraction form
    7,212.35/9,952.71 = 4,187.00/x
  3. Step 3: Cross multiply
    7,212.35x = 9,952.71 × 4,187.00
  4. Step 4: Simplify right side
    7,212.35x = 41,672,005.95
  5. Step 5: Solve for x
    x = 41,672,005.95/7,212.35
  6. Step 6: Final answer
    x = 5,777.87

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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.