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Finding the Fourth Proportional to 6,585.84, 9,072 and 5,263.92

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Solution

The fourth proportional to 6,585.84, 9,072 and 5,263.92 is: 7,251.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,585.84 : 9,072 = 5,263.92 : x
  2. Step 2: Convert to fraction form
    6,585.84/9,072 = 5,263.92/x
  3. Step 3: Cross multiply
    6,585.84x = 9,072 × 5,263.92
  4. Step 4: Simplify right side
    6,585.84x = 47,754,282.24
  5. Step 5: Solve for x
    x = 47,754,282.24/6,585.84
  6. Step 6: Final answer
    x = 7,251.05

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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.