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Finding the Fourth Proportional to 13,981.44, 19,292.88 and 7,693.44

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Solution

The fourth proportional to 13,981.44, 19,292.88 and 7,693.44 is: 10,616.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,981.44 : 19,292.88 = 7,693.44 : x
  2. Step 2: Convert to fraction form
    13,981.44/19,292.88 = 7,693.44/x
  3. Step 3: Cross multiply
    13,981.44x = 19,292.88 × 7,693.44
  4. Step 4: Simplify right side
    13,981.44x = 148,428,614.71
  5. Step 5: Solve for x
    x = 148,428,614.71/13,981.44
  6. Step 6: Final answer
    x = 10,616.12

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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.