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Finding the Fourth Proportional to 9,963.61, 13,748.36 and 5,714.87

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Solution

The fourth proportional to 9,963.61, 13,748.36 and 5,714.87 is: 7,885.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,963.61 : 13,748.36 = 5,714.87 : x
  2. Step 2: Convert to fraction form
    9,963.61/13,748.36 = 5,714.87/x
  3. Step 3: Cross multiply
    9,963.61x = 13,748.36 × 5,714.87
  4. Step 4: Simplify right side
    9,963.61x = 78,569,992.80
  5. Step 5: Solve for x
    x = 78,569,992.80/9,963.61
  6. Step 6: Final answer
    x = 7,885.70

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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.