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Finding the Fourth Proportional to 7,831.84, 10,808.09 and 4,295.06

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Solution

The fourth proportional to 7,831.84, 10,808.09 and 4,295.06 is: 5,927.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,831.84 : 10,808.09 = 4,295.06 : x
  2. Step 2: Convert to fraction form
    7,831.84/10,808.09 = 4,295.06/x
  3. Step 3: Cross multiply
    7,831.84x = 10,808.09 × 4,295.06
  4. Step 4: Simplify right side
    7,831.84x = 46,421,395.04
  5. Step 5: Solve for x
    x = 46,421,395.04/7,831.84
  6. Step 6: Final answer
    x = 5,927.27

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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.