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Finding the Fourth Proportional to 9,605.99, 13,262.33 and 7,363.71

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Solution

The fourth proportional to 9,605.99, 13,262.33 and 7,363.71 is: 10,166.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,605.99 : 13,262.33 = 7,363.71 : x
  2. Step 2: Convert to fraction form
    9,605.99/13,262.33 = 7,363.71/x
  3. Step 3: Cross multiply
    9,605.99x = 13,262.33 × 7,363.71
  4. Step 4: Simplify right side
    9,605.99x = 97,659,970.45
  5. Step 5: Solve for x
    x = 97,659,970.45/9,605.99
  6. Step 6: Final answer
    x = 10,166.57

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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.