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Finding the Fourth Proportional to 7,036.15, 9,704.48 and 4,911

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Solution

The fourth proportional to 7,036.15, 9,704.48 and 4,911 is: 6,773.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,036.15 : 9,704.48 = 4,911 : x
  2. Step 2: Convert to fraction form
    7,036.15/9,704.48 = 4,911/x
  3. Step 3: Cross multiply
    7,036.15x = 9,704.48 × 4,911
  4. Step 4: Simplify right side
    7,036.15x = 47,658,701.28
  5. Step 5: Solve for x
    x = 47,658,701.28/7,036.15
  6. Step 6: Final answer
    x = 6,773.41

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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.