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Finding the Fourth Proportional to 13,983, 19,296.54 and 7,695.24

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Solution

The fourth proportional to 13,983, 19,296.54 and 7,695.24 is: 10,619.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,983 : 19,296.54 = 7,695.24 : x
  2. Step 2: Convert to fraction form
    13,983/19,296.54 = 7,695.24/x
  3. Step 3: Cross multiply
    13,983x = 19,296.54 × 7,695.24
  4. Step 4: Simplify right side
    13,983x = 148,491,506.47
  5. Step 5: Solve for x
    x = 148,491,506.47/13,983
  6. Step 6: Final answer
    x = 10,619.43

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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.