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Finding the Fourth Proportional to 5,714.84, 8,565.60 and 4,676.60

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Solution

The fourth proportional to 5,714.84, 8,565.60 and 4,676.60 is: 7,009.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,714.84 : 8,565.60 = 4,676.60 : x
  2. Step 2: Convert to fraction form
    5,714.84/8,565.60 = 4,676.60/x
  3. Step 3: Cross multiply
    5,714.84x = 8,565.60 × 4,676.60
  4. Step 4: Simplify right side
    5,714.84x = 40,057,884.96
  5. Step 5: Solve for x
    x = 40,057,884.96/5,714.84
  6. Step 6: Final answer
    x = 7,009.45

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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.