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Finding the Fourth Proportional to 9,809.40, 14,714.10 and 6,468.60

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Solution

The fourth proportional to 9,809.40, 14,714.10 and 6,468.60 is: 9,702.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,809.40 : 14,714.10 = 6,468.60 : x
  2. Step 2: Convert to fraction form
    9,809.40/14,714.10 = 6,468.60/x
  3. Step 3: Cross multiply
    9,809.40x = 14,714.10 × 6,468.60
  4. Step 4: Simplify right side
    9,809.40x = 95,179,627.26
  5. Step 5: Solve for x
    x = 95,179,627.26/9,809.40
  6. Step 6: Final answer
    x = 9,702.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.