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Finding the Fourth Proportional to 6,583.48, 9,083.64 and 4,812.01

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Solution

The fourth proportional to 6,583.48, 9,083.64 and 4,812.01 is: 6,639.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,583.48 : 9,083.64 = 4,812.01 : x
  2. Step 2: Convert to fraction form
    6,583.48/9,083.64 = 4,812.01/x
  3. Step 3: Cross multiply
    6,583.48x = 9,083.64 × 4,812.01
  4. Step 4: Simplify right side
    6,583.48x = 43,710,561.85
  5. Step 5: Solve for x
    x = 43,710,561.85/6,583.48
  6. Step 6: Final answer
    x = 6,639.43

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1.5x scale

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.