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Finding the Fourth Proportional to 6,117.70, 9,176.55 and 6,052.90

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Solution

The fourth proportional to 6,117.70, 9,176.55 and 6,052.90 is: 9,079.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,117.70 : 9,176.55 = 6,052.90 : x
  2. Step 2: Convert to fraction form
    6,117.70/9,176.55 = 6,052.90/x
  3. Step 3: Cross multiply
    6,117.70x = 9,176.55 × 6,052.90
  4. Step 4: Simplify right side
    6,117.70x = 55,544,739.50
  5. Step 5: Solve for x
    x = 55,544,739.50/6,117.70
  6. Step 6: Final answer
    x = 9,079.35

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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.