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Finding the Fourth Proportional to 9,860.16, 14,790.88 and 3,704

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Solution

The fourth proportional to 9,860.16, 14,790.88 and 3,704 is: 5,556.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,860.16 : 14,790.88 = 3,704 : x
  2. Step 2: Convert to fraction form
    9,860.16/14,790.88 = 3,704/x
  3. Step 3: Cross multiply
    9,860.16x = 14,790.88 × 3,704
  4. Step 4: Simplify right side
    9,860.16x = 54,785,419.52
  5. Step 5: Solve for x
    x = 54,785,419.52/9,860.16
  6. Step 6: Final answer
    x = 5,556.24

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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.