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Finding the Fourth Proportional to 9,809.40, 14,714.10 and 5,662.20

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Solution

The fourth proportional to 9,809.40, 14,714.10 and 5,662.20 is: 8,493.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,809.40 : 14,714.10 = 5,662.20 : x
  2. Step 2: Convert to fraction form
    9,809.40/14,714.10 = 5,662.20/x
  3. Step 3: Cross multiply
    9,809.40x = 14,714.10 × 5,662.20
  4. Step 4: Simplify right side
    9,809.40x = 83,314,177.02
  5. Step 5: Solve for x
    x = 83,314,177.02/9,809.40
  6. Step 6: Final answer
    x = 8,493.30

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Half scale
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Double scale
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Similar ratio
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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.