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Finding the Fourth Proportional to 9,812.87, 13,537.00 and 5,831.16

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Solution

The fourth proportional to 9,812.87, 13,537.00 and 5,831.16 is: 8,044.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,812.87 : 13,537.00 = 5,831.16 : x
  2. Step 2: Convert to fraction form
    9,812.87/13,537.00 = 5,831.16/x
  3. Step 3: Cross multiply
    9,812.87x = 13,537.00 × 5,831.16
  4. Step 4: Simplify right side
    9,812.87x = 78,936,383.76
  5. Step 5: Solve for x
    x = 78,936,383.76/9,812.87
  6. Step 6: Final answer
    x = 8,044.17

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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.