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Finding the Fourth Proportional to 9,714.86, 13,412.64 and 6,729.62

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Solution

The fourth proportional to 9,714.86, 13,412.64 and 6,729.62 is: 9,291.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,714.86 : 13,412.64 = 6,729.62 : x
  2. Step 2: Convert to fraction form
    9,714.86/13,412.64 = 6,729.62/x
  3. Step 3: Cross multiply
    9,714.86x = 13,412.64 × 6,729.62
  4. Step 4: Simplify right side
    9,714.86x = 90,261,970.40
  5. Step 5: Solve for x
    x = 90,261,970.40/9,714.86
  6. Step 6: Final answer
    x = 9,291.12

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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.