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Finding the Fourth Proportional to 9,963.40, 13,748.97 and 5,714.24

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Solution

The fourth proportional to 9,963.40, 13,748.97 and 5,714.24 is: 7,885.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,963.40 : 13,748.97 = 5,714.24 : x
  2. Step 2: Convert to fraction form
    9,963.40/13,748.97 = 5,714.24/x
  3. Step 3: Cross multiply
    9,963.40x = 13,748.97 × 5,714.24
  4. Step 4: Simplify right side
    9,963.40x = 78,564,920.13
  5. Step 5: Solve for x
    x = 78,564,920.13/9,963.40
  6. Step 6: Final answer
    x = 7,885.35

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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.