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Finding the Fourth Proportional to 6,666.84, 9,194.31 and 4,306.50

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Solution

The fourth proportional to 6,666.84, 9,194.31 and 4,306.50 is: 5,939.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,666.84 : 9,194.31 = 4,306.50 : x
  2. Step 2: Convert to fraction form
    6,666.84/9,194.31 = 4,306.50/x
  3. Step 3: Cross multiply
    6,666.84x = 9,194.31 × 4,306.50
  4. Step 4: Simplify right side
    6,666.84x = 39,595,296.02
  5. Step 5: Solve for x
    x = 39,595,296.02/6,666.84
  6. Step 6: Final answer
    x = 5,939.14

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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.