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Finding the Fourth Proportional to 13,240.16, 19,868.44 and 7,696.12

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Solution

The fourth proportional to 13,240.16, 19,868.44 and 7,696.12 is: 11,548.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,240.16 : 19,868.44 = 7,696.12 : x
  2. Step 2: Convert to fraction form
    13,240.16/19,868.44 = 7,696.12/x
  3. Step 3: Cross multiply
    13,240.16x = 19,868.44 × 7,696.12
  4. Step 4: Simplify right side
    13,240.16x = 152,909,898.45
  5. Step 5: Solve for x
    x = 152,909,898.45/13,240.16
  6. Step 6: Final answer
    x = 11,548.95

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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.