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Finding the Fourth Proportional to 7,029.84, 9,698.20 and 4,935.28

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Solution

The fourth proportional to 7,029.84, 9,698.20 and 4,935.28 is: 6,808.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,029.84 : 9,698.20 = 4,935.28 : x
  2. Step 2: Convert to fraction form
    7,029.84/9,698.20 = 4,935.28/x
  3. Step 3: Cross multiply
    7,029.84x = 9,698.20 × 4,935.28
  4. Step 4: Simplify right side
    7,029.84x = 47,863,332.50
  5. Step 5: Solve for x
    x = 47,863,332.50/7,029.84
  6. Step 6: Final answer
    x = 6,808.59

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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.