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Finding the Fourth Proportional to 5,397.51, 8,096.58 and 1,699.86

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Solution

The fourth proportional to 5,397.51, 8,096.58 and 1,699.86 is: 2,549.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,397.51 : 8,096.58 = 1,699.86 : x
  2. Step 2: Convert to fraction form
    5,397.51/8,096.58 = 1,699.86/x
  3. Step 3: Cross multiply
    5,397.51x = 8,096.58 × 1,699.86
  4. Step 4: Simplify right side
    5,397.51x = 13,763,052.48
  5. Step 5: Solve for x
    x = 13,763,052.48/5,397.51
  6. Step 6: Final answer
    x = 2,549.89

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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.