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Finding the Fourth Proportional to 7,101.04, 9,801.68 and 4,306

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Solution

The fourth proportional to 7,101.04, 9,801.68 and 4,306 is: 5,943.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,101.04 : 9,801.68 = 4,306 : x
  2. Step 2: Convert to fraction form
    7,101.04/9,801.68 = 4,306/x
  3. Step 3: Cross multiply
    7,101.04x = 9,801.68 × 4,306
  4. Step 4: Simplify right side
    7,101.04x = 42,206,034.08
  5. Step 5: Solve for x
    x = 42,206,034.08/7,101.04
  6. Step 6: Final answer
    x = 5,943.64

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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.