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Finding the Fourth Proportional to 6,527, 9,007.80 and 3,733.04

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Solution

The fourth proportional to 6,527, 9,007.80 and 3,733.04 is: 5,151.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,527 : 9,007.80 = 3,733.04 : x
  2. Step 2: Convert to fraction form
    6,527/9,007.80 = 3,733.04/x
  3. Step 3: Cross multiply
    6,527x = 9,007.80 × 3,733.04
  4. Step 4: Simplify right side
    6,527x = 33,626,477.71
  5. Step 5: Solve for x
    x = 33,626,477.71/6,527
  6. Step 6: Final answer
    x = 5,151.90

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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.