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Finding the Fourth Proportional to 11,573.12, 15,969.92 and 6,605.12

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Solution

The fourth proportional to 11,573.12, 15,969.92 and 6,605.12 is: 9,114.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,573.12 : 15,969.92 = 6,605.12 : x
  2. Step 2: Convert to fraction form
    11,573.12/15,969.92 = 6,605.12/x
  3. Step 3: Cross multiply
    11,573.12x = 15,969.92 × 6,605.12
  4. Step 4: Simplify right side
    11,573.12x = 105,483,237.99
  5. Step 5: Solve for x
    x = 105,483,237.99/11,573.12
  6. Step 6: Final answer
    x = 9,114.50

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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.