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Finding the Fourth Proportional to 9,602.83, 14,391.95 and 7,406.96

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Solution

The fourth proportional to 9,602.83, 14,391.95 and 7,406.96 is: 11,100.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,602.83 : 14,391.95 = 7,406.96 : x
  2. Step 2: Convert to fraction form
    9,602.83/14,391.95 = 7,406.96/x
  3. Step 3: Cross multiply
    9,602.83x = 14,391.95 × 7,406.96
  4. Step 4: Simplify right side
    9,602.83x = 106,600,488.98
  5. Step 5: Solve for x
    x = 106,600,488.98/9,602.83
  6. Step 6: Final answer
    x = 11,100.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.