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Finding the Fourth Proportional to 7,237.94, 9,991.76 and 5,446.08

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Solution

The fourth proportional to 7,237.94, 9,991.76 and 5,446.08 is: 7,518.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,237.94 : 9,991.76 = 5,446.08 : x
  2. Step 2: Convert to fraction form
    7,237.94/9,991.76 = 5,446.08/x
  3. Step 3: Cross multiply
    7,237.94x = 9,991.76 × 5,446.08
  4. Step 4: Simplify right side
    7,237.94x = 54,415,897.07
  5. Step 5: Solve for x
    x = 54,415,897.07/7,237.94
  6. Step 6: Final answer
    x = 7,518.15

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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.