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Finding the Fourth Proportional to 6,585.40, 9,087.82 and 4,066.93

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Solution

The fourth proportional to 6,585.40, 9,087.82 and 4,066.93 is: 5,612.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,585.40 : 9,087.82 = 4,066.93 : x
  2. Step 2: Convert to fraction form
    6,585.40/9,087.82 = 4,066.93/x
  3. Step 3: Cross multiply
    6,585.40x = 9,087.82 × 4,066.93
  4. Step 4: Simplify right side
    6,585.40x = 36,959,527.79
  5. Step 5: Solve for x
    x = 36,959,527.79/6,585.40
  6. Step 6: Final answer
    x = 5,612.34

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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.