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Finding the Fourth Proportional to 7,063.74, 9,751.59 and 4,977.18

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Solution

The fourth proportional to 7,063.74, 9,751.59 and 4,977.18 is: 6,871.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,063.74 : 9,751.59 = 4,977.18 : x
  2. Step 2: Convert to fraction form
    7,063.74/9,751.59 = 4,977.18/x
  3. Step 3: Cross multiply
    7,063.74x = 9,751.59 × 4,977.18
  4. Step 4: Simplify right side
    7,063.74x = 48,535,418.72
  5. Step 5: Solve for x
    x = 48,535,418.72/7,063.74
  6. Step 6: Final answer
    x = 6,871.07

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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.