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Finding the Fourth Proportional to 15,736.94, 23,597.71 and 7,409.94

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Solution

The fourth proportional to 15,736.94, 23,597.71 and 7,409.94 is: 11,111.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,736.94 : 23,597.71 = 7,409.94 : x
  2. Step 2: Convert to fraction form
    15,736.94/23,597.71 = 7,409.94/x
  3. Step 3: Cross multiply
    15,736.94x = 23,597.71 × 7,409.94
  4. Step 4: Simplify right side
    15,736.94x = 174,857,615.24
  5. Step 5: Solve for x
    x = 174,857,615.24/15,736.94
  6. Step 6: Final answer
    x = 11,111.28

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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.