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Finding the Fourth Proportional to 5,654.35, 7,809.11 and 4,410.19

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Solution

The fourth proportional to 5,654.35, 7,809.11 and 4,410.19 is: 6,090.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,654.35 : 7,809.11 = 4,410.19 : x
  2. Step 2: Convert to fraction form
    5,654.35/7,809.11 = 4,410.19/x
  3. Step 3: Cross multiply
    5,654.35x = 7,809.11 × 4,410.19
  4. Step 4: Simplify right side
    5,654.35x = 34,439,636.78
  5. Step 5: Solve for x
    x = 34,439,636.78/5,654.35
  6. Step 6: Final answer
    x = 6,090.82

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Half scale
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Double scale
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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.