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Finding the Fourth Proportional to 9,798.64, 14,698.51 and 3,135.72

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Solution

The fourth proportional to 9,798.64, 14,698.51 and 3,135.72 is: 4,703.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,798.64 : 14,698.51 = 3,135.72 : x
  2. Step 2: Convert to fraction form
    9,798.64/14,698.51 = 3,135.72/x
  3. Step 3: Cross multiply
    9,798.64x = 14,698.51 × 3,135.72
  4. Step 4: Simplify right side
    9,798.64x = 46,090,411.78
  5. Step 5: Solve for x
    x = 46,090,411.78/9,798.64
  6. Step 6: Final answer
    x = 4,703.76

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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.