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Finding the Fourth Proportional to 6,465.04, 9,699 and 3,541.84

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Solution

The fourth proportional to 6,465.04, 9,699 and 3,541.84 is: 5,313.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,465.04 : 9,699 = 3,541.84 : x
  2. Step 2: Convert to fraction form
    6,465.04/9,699 = 3,541.84/x
  3. Step 3: Cross multiply
    6,465.04x = 9,699 × 3,541.84
  4. Step 4: Simplify right side
    6,465.04x = 34,352,306.16
  5. Step 5: Solve for x
    x = 34,352,306.16/6,465.04
  6. Step 6: Final answer
    x = 5,313.55

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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.